Dirt bike transportation?

I have a 2005 Ford Explorer with a class 2 hitch that has a 1 1/4 receiver, and a Honda crf450R. I want to transport my bike but all hitch mounts for bikes are make for class 3 hitches with 2 inch receivers. I bought a 1 1/4 to 2 inch adapter, would the class 3 hitch work for me as long as I remember I can t carry as much as a class 3 hitch?

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