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Finding the Third Proportional to 617,042 and 932,138

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Solution

The third proportional to 617,042 and 932,138 is: 1,408,139.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,042 : 932,138 = 932,138 : x
  2. Step 2: Convert to fraction form
    617,042/932,138 = 932,138/x
  3. Step 3: Cross multiply
    617,042x = 932,138 × 932,138
  4. Step 4: Simplify right side
    617,042x = 868,881,251,044
  5. Step 5: Solve for x
    x = 868,881,251,044/617,042
  6. Step 6: Final answer
    x = 1,408,139.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.