Or, one can use standard exhaust pipe adapters for cooling line hoses of diff sizes.Not sure about hose diameters, but I may or may not know a guy who ran a hose that was flared out with an exhaust pipe expander and he didn't have any issues.
Use the radiator end hose @ that end & the correct engine hose @ the other end. Somewhere in between the 2 ends where the hoses are as straight as possible use an adapter (ex: 1.5" that steps up to 1 3/4"). I've done it on a couple of vehicles w/o issue.