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Finding the Third Proportional to 491,902 and 752,127

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Solution

The third proportional to 491,902 and 752,127 is: 1,150,015.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,902 : 752,127 = 752,127 : x
  2. Step 2: Convert to fraction form
    491,902/752,127 = 752,127/x
  3. Step 3: Cross multiply
    491,902x = 752,127 × 752,127
  4. Step 4: Simplify right side
    491,902x = 565,695,024,129
  5. Step 5: Solve for x
    x = 565,695,024,129/491,902
  6. Step 6: Final answer
    x = 1,150,015.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.