I have just done this with the filter from a 6.5gal tank, I ran it in conjunction with the new virgin large filter for a 45gal. I gently squashed the dirty old filter sponge onto the clean new one to set it off, and then ran both filters together. I put a net bag contaning some of the dirty old gravel and a dirty carbon pad next to the sucky bit of the new filter, and introduced my old fish from the smaller tank straight away after the tank water had settled down a day or two later. The recorded mini spike was as follows including new fish during the lowering nit spike
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Day 1
Am. 0.3max, Nit. 0.1, Nat. 8-10ish
Day 2
Am. 0.3max, Nit. 0.2, Nat. 8ish
Day 3
Am. 0, Nit. 0.3max, Nat. 8ish
Day 3,4,5,6
Am. 0, Nit. 0.3max, Nat. 8-10ish
Day 7,8,9
Am. 0, Nit. 0.2, Nat. 11-15ish
Day 10
Am. 0, Nit. 0.1, Nat. 8ish
I then have put half of the old sponge off the first filter in the centre of the new filter, and replaced the old filter half with a new in the first one and popped it back in the smaller tank for a nearly instantly cycled first tank Am 0, nit 0.1, nat 8ish
All fish look happy so far in spite of being over enthusiastic myself with the new fish, plus three tiny platy fry only 1 day old. Water can't be that bad if they stay alive...keep fingers crossed.