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Finding the Third Proportional to 491,898 and 752,121

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Solution

The third proportional to 491,898 and 752,121 is: 1,150,006.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,898 : 752,121 = 752,121 : x
  2. Step 2: Convert to fraction form
    491,898/752,121 = 752,121/x
  3. Step 3: Cross multiply
    491,898x = 752,121 × 752,121
  4. Step 4: Simplify right side
    491,898x = 565,685,998,641
  5. Step 5: Solve for x
    x = 565,685,998,641/491,898
  6. Step 6: Final answer
    x = 1,150,006.71

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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.