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Finding the Third Proportional to 667,713.38 and 1,414,881

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Solution

The third proportional to 667,713.38 and 1,414,881 is: 2,998,125.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,713.38 : 1,414,881 = 1,414,881 : x
  2. Step 2: Convert to fraction form
    667,713.38/1,414,881 = 1,414,881/x
  3. Step 3: Cross multiply
    667,713.38x = 1,414,881 × 1,414,881
  4. Step 4: Simplify right side
    667,713.38x = 2,001,888,244,161
  5. Step 5: Solve for x
    x = 2,001,888,244,161/667,713.38
  6. Step 6: Final answer
    x = 2,998,125.12

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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.