I can't tell from your photos whether both edges/beads on the opposite side from where you haven't gotten the tire onto the rim--the opposite side of the circle from where you're working--are squeezed together and into the "dished" center part of the rim. That's what gives you the extra clearance to pop that last bit of bead over the rim and into place.
If the section of bead you've already got in place is out where it eventually will belong, you'll have a struggle, so squeeze it into the center. It's actually fairly easy once you get everything lined up--with practice, people-who-are-not-me can do it barehanded.
If the above is inapplicable, then just jam your third [sic] tire iron halfway along the section you're struggling with and lever hard. The bead will pop right into place--I promise.
Don't know if that's helpful or not.
Mark
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