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Finding the Third Proportional to 690,446 and 932,841

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Solution

The third proportional to 690,446 and 932,841 is: 1,260,333.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,446 : 932,841 = 932,841 : x
  2. Step 2: Convert to fraction form
    690,446/932,841 = 932,841/x
  3. Step 3: Cross multiply
    690,446x = 932,841 × 932,841
  4. Step 4: Simplify right side
    690,446x = 870,192,331,281
  5. Step 5: Solve for x
    x = 870,192,331,281/690,446
  6. Step 6: Final answer
    x = 1,260,333.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.