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The second maximum brought up the century partnership between Miller and skipper Hardik Pandya, the pair coming together at 85-3 after 9.5 overs.
Miller finished on 68 off 38 (3x4s, 5x6s), while Pandya was not out on 40 off 27 (5x4s). Opener Shubman Gill kickstarted the run-chase with a breezy 35 off 21 (5x4s, 1×6), while Matthew Wade made 35 off 30 (6x4s).
Earlier, Jos Buttler became only the sixth man to cross 700 runs in a single IPL season, overcoming a slow start to blast 89 off 56 (12x4s, 2x6s), his seventh 50-plus score of the season.
Sanju Samson made 47 off 26 (5x4s, 3x6s) and Devdutt Padikkal 28 off 20 (2x4s, 2x6s).
While the victory sends Titans straight to the final on Sunday (May 29), Rajasthan have another chance when they play in Qualifier Two on Friday (May 27) against the winner of the Eliminator between Lucknow Super Giants and Royal Challengers, set for Wednesday (May 25).
