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Finding the Third Proportional to 667,731 and 1,414,920

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Solution

The third proportional to 667,731 and 1,414,920 is: 2,998,211.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,731 : 1,414,920 = 1,414,920 : x
  2. Step 2: Convert to fraction form
    667,731/1,414,920 = 1,414,920/x
  3. Step 3: Cross multiply
    667,731x = 1,414,920 × 1,414,920
  4. Step 4: Simplify right side
    667,731x = 2,001,998,606,400
  5. Step 5: Solve for x
    x = 2,001,998,606,400/667,731
  6. Step 6: Final answer
    x = 2,998,211.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.