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Finding the Third Proportional to 510,411,412 and 791,862,066

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Solution

The third proportional to 510,411,412 and 791,862,066 is: 1,228,510,015.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,411,412 : 791,862,066 = 791,862,066 : x
  2. Step 2: Convert to fraction form
    510,411,412/791,862,066 = 791,862,066/x
  3. Step 3: Cross multiply
    510,411,412x = 791,862,066 × 791,862,066
  4. Step 4: Simplify right side
    510,411,412x = 627,045,531,569,788,416
  5. Step 5: Solve for x
    x = 627,045,531,569,788,416/510,411,412
  6. Step 6: Final answer
    x = 1,228,510,015.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.