Thank you to everyone for being so kind to explain. I had been researching focal length and field of view for a month and every time I thought I had grasped the concept I would read a different piece of information that would make me confused all over again. I found this article easy to understand.
https://photographylife.com/equivalent-focal-length-and-field-of-view
I have to say I am still a bit confused by what I saw when mounting this 45mm 67 lens onto my 645 body. Even though the 645z sensor is significantly smaller than the 6x7 film I saw zero difference between the FOV of the 45mm 6x7 lens and the 45mm Pentax 645 lens. Even more confusing was the fact that when I mounted the 45mm 6x7 lens onto my Full Frame I did see a difference in the FOV (looked more zoomed in although I know this is due to the size of the sensor not being the full projected image from the lens). Maybe the missing piece to the puzzle is that I never compared the 45mm 67 lens mounted on the P67 versus the same lens on my 645z, but I assumed that by mounting my 45m 645 lens on my MF and comparing that to the 45mm 67 lens mounted on my same MF would produce different fields of view. Shouldn't the 45mm 67 lens look more like a 55mm 645 lens on the MF since the 645 sensor would only be picking up the center of the lens? Then I see charts saying the 45mm 67 lens is equivalent to a 23mm lens on a full frame which is not at all what I saw when comparing a photo of the 45mm (67 and 645) on my MF to a photo of my 24mm FF lens on my FF camera.
I was under the assumption that when they say the 45mm 6x7 lens is equivalent to a 23mm on full frame and a 35 on medium format, that meant that what I would see when looking through a 6x7 camera with that 45mm would resemble what I would see when mounting a 23mm to my full frame and a 35mm on my medium format. As I said, what I saw on my medium format (don't own 6x7) with the 45mm was nowhere near to what I saw when I took a photo with my full frame with a 24mm mounted (closest I had to 23mm).
Although I let my frustration get to me earlier, I am really liking this 45mm 6x7 prime lens. One day I would like to test it out versus my 45-85mm 645 lens, directly. If it is an improvement then I would be happy to keep this lens. Also since purchasing the 67 adapter I am starting to look at other 67 lenses. If anyone has any suggestions would appreciate it. Need a nice close up portrait lens (already have the 90mm f2.8 for wider portraits).
When I have more time I will read through again and maybe fully understand these equivalences. Im a little confused as to why the 45mm for the 6x7 looks exactly the same on my MF camera as the 45mm for my MF, but when I put it on my FF it looks more zoomed. On the one hand people are saying the 45 will always be a 45 so I am totally confused.
1st image is Pentax K1 with 24mm full frame lens
2nd image is Pentax K1 with 45mm 67 lens
3rd picture is Pentax 645z with 45mm 645 lens
4th picture is Pentax 645z with 45mm 67 lens