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Finding the Third Proportional to 632,866 and 951,987

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Solution

The third proportional to 632,866 and 951,987 is: 1,432,023.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,866 : 951,987 = 951,987 : x
  2. Step 2: Convert to fraction form
    632,866/951,987 = 951,987/x
  3. Step 3: Cross multiply
    632,866x = 951,987 × 951,987
  4. Step 4: Simplify right side
    632,866x = 906,279,248,169
  5. Step 5: Solve for x
    x = 906,279,248,169/632,866
  6. Step 6: Final answer
    x = 1,432,023.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.