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Finding the Third Proportional to 415,587 and 908,934

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Solution

The third proportional to 415,587 and 908,934 is: 1,987,937.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,587 : 908,934 = 908,934 : x
  2. Step 2: Convert to fraction form
    415,587/908,934 = 908,934/x
  3. Step 3: Cross multiply
    415,587x = 908,934 × 908,934
  4. Step 4: Simplify right side
    415,587x = 826,161,016,356
  5. Step 5: Solve for x
    x = 826,161,016,356/415,587
  6. Step 6: Final answer
    x = 1,987,937.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.