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Finding the Third Proportional to 928,909 and 1,435,634

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Solution

The third proportional to 928,909 and 1,435,634 is: 2,218,780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    928,909 : 1,435,634 = 1,435,634 : x
  2. Step 2: Convert to fraction form
    928,909/1,435,634 = 1,435,634/x
  3. Step 3: Cross multiply
    928,909x = 1,435,634 × 1,435,634
  4. Step 4: Simplify right side
    928,909x = 2,061,044,981,956
  5. Step 5: Solve for x
    x = 2,061,044,981,956/928,909
  6. Step 6: Final answer
    x = 2,218,780.29

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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.