I just moved two 20g high tanks into a new 72g bowfront (in my signature). I used "new" live sand with very little of the old sand and all of the "old" live rocks. I added the live sand and RO/DI water and a few rocks a day into it from each tank--as much as I could spare and still have some filtration in the 20's. After three days the water parameters were perfect (and still are) and the only thing a little low was calcium which I supplemented. I didn't check the tank for three days after moving everything in figuring it would surely need to cycle and have some kind of ammonia spike from the "new" sand, but I'm guessing it was pretty much good to go from the start...I didn't try it that way though lol
Don't know if it happens that way for everyone, but that's how it worked out for me.