We've just installed some large format tile in our home which required a good chunk of mortar and thinset due to its weight, and as a result we now have a large height difference in this door frame transition between the new tile and our existing wood floors. There was already a difference in height between the previous tile and the hardwood, but now it's about an inch higher.
Rather than add 4th step to the existing "steps", we would like to have one large step (or some kind of transition piece) between the tile and the hardwood floor (removing the existing steps in the process). However, the height difference is about 3" from tile to the base hardwood floor, and I can't seem to find any reducers or "ramps" that are tall enough to do the job.
Any ideas on how best to handle this? The picture below shows the threshold with the height differences labeled.
EDIT: The "schematic" isn't clear, but it's the 'vertical offset', between the upper "step" and the new tile (~1"), and then the actual wooden floors and the new tile (~3").