Although the word “strengthening” is preceded by the word “to” in this example, there is no special form you need to learn. Here, “strengthening” is an activity. George Washington Carver dedicated his life to that activity. In other words, “strengthening” is a noun in this sentence. We could just as well say “George dedicated his life to the improvement of the soil.”
“To strengthening” is not a correct verb form under any circumstances.
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