What you meant was correct.
The gears in the transfer case after the center diff step down the shaft speed for the propeller shaft, and then the gears in the rear diff housing step it back up to the exact same speed for the rear axles.
However, the final drive is NOT part of the front diff.
* I just realized something.
We have ALL been wrong on the trans......
The front AND center diff are housed in the same unit.
Inside the trans. NOT the transfer case. And BOTH are OPEN diffs.
The control coupling, which is what allows the center diff to act as a LSD, is what is in the transfer case.
Regardless, the final drive is the ring gear that is bolted to the diff case that houses both the center and front diffs.
The gear stepping down and up is just as I have described it.*