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Finding the Third Proportional to 617,022 and 932,088

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Solution

The third proportional to 617,022 and 932,088 is: 1,408,034.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,022 : 932,088 = 932,088 : x
  2. Step 2: Convert to fraction form
    617,022/932,088 = 932,088/x
  3. Step 3: Cross multiply
    617,022x = 932,088 × 932,088
  4. Step 4: Simplify right side
    617,022x = 868,788,039,744
  5. Step 5: Solve for x
    x = 868,788,039,744/617,022
  6. Step 6: Final answer
    x = 1,408,034.14

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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.