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Finding the Third Proportional to 667,675 and 1,414,811

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Solution

The third proportional to 667,675 and 1,414,811 is: 2,998,000.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,675 : 1,414,811 = 1,414,811 : x
  2. Step 2: Convert to fraction form
    667,675/1,414,811 = 1,414,811/x
  3. Step 3: Cross multiply
    667,675x = 1,414,811 × 1,414,811
  4. Step 4: Simplify right side
    667,675x = 2,001,690,165,721
  5. Step 5: Solve for x
    x = 2,001,690,165,721/667,675
  6. Step 6: Final answer
    x = 2,998,000.77

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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.