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Finding the Third Proportional to 391,972 and 858,676

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Solution

The third proportional to 391,972 and 858,676 is: 1,881,064.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,972 : 858,676 = 858,676 : x
  2. Step 2: Convert to fraction form
    391,972/858,676 = 858,676/x
  3. Step 3: Cross multiply
    391,972x = 858,676 × 858,676
  4. Step 4: Simplify right side
    391,972x = 737,324,472,976
  5. Step 5: Solve for x
    x = 737,324,472,976/391,972
  6. Step 6: Final answer
    x = 1,881,064.14

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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.