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Finding the Third Proportional to 667,715 and 1,414,885

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Solution

The third proportional to 667,715 and 1,414,885 is: 2,998,134.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,715 : 1,414,885 = 1,414,885 : x
  2. Step 2: Convert to fraction form
    667,715/1,414,885 = 1,414,885/x
  3. Step 3: Cross multiply
    667,715x = 1,414,885 × 1,414,885
  4. Step 4: Simplify right side
    667,715x = 2,001,899,563,225
  5. Step 5: Solve for x
    x = 2,001,899,563,225/667,715
  6. Step 6: Final answer
    x = 2,998,134.78

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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.