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Finding the Third Proportional to 391,475 and 834,192

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Solution

The third proportional to 391,475 and 834,192 is: 1,777,575.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,475 : 834,192 = 834,192 : x
  2. Step 2: Convert to fraction form
    391,475/834,192 = 834,192/x
  3. Step 3: Cross multiply
    391,475x = 834,192 × 834,192
  4. Step 4: Simplify right side
    391,475x = 695,876,292,864
  5. Step 5: Solve for x
    x = 695,876,292,864/391,475
  6. Step 6: Final answer
    x = 1,777,575.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.