Tricky Floor Transition problem

[Joseph Sangimino]

All, 

I'm dealing with a tricky floor transition problem and was hoping to get some recommendations. I'm just finishing up a buy and hold rehab project on an older cape cod. There is a pretty steep drop between the living room floor (luxury vinyl) and the kitchen tile. Its about a 1" drop from the vinyl to the tile. I hit a couple unexpected hurdles while installing the floor in the living room that resulted in this issue. If I could go back I'd do a couple of things differently and make sure the floors were nice and even, but at this point I'm happy with the end product - with the exception of the floor transition issue in this area. 

I cant find any 1" deep transitions online and at Home Depot that I think would work well and look nice. I'm almost leaning toward some kind of short interior ramp. 

Does anyone have any recommendations on products or techniques I can use to transition the floors? 

Thanks!

Joe