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Finding the Third Proportional to 498,665 and 1,081,874

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Solution

The third proportional to 498,665 and 1,081,874 is: 2,347,169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,665 : 1,081,874 = 1,081,874 : x
  2. Step 2: Convert to fraction form
    498,665/1,081,874 = 1,081,874/x
  3. Step 3: Cross multiply
    498,665x = 1,081,874 × 1,081,874
  4. Step 4: Simplify right side
    498,665x = 1,170,451,351,876
  5. Step 5: Solve for x
    x = 1,170,451,351,876/498,665
  6. Step 6: Final answer
    x = 2,347,169.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.