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Finding the Third Proportional to 667,717 and 1,414,887

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Solution

The third proportional to 667,717 and 1,414,887 is: 2,998,134.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,717 : 1,414,887 = 1,414,887 : x
  2. Step 2: Convert to fraction form
    667,717/1,414,887 = 1,414,887/x
  3. Step 3: Cross multiply
    667,717x = 1,414,887 × 1,414,887
  4. Step 4: Simplify right side
    667,717x = 2,001,905,222,769
  5. Step 5: Solve for x
    x = 2,001,905,222,769/667,717
  6. Step 6: Final answer
    x = 2,998,134.27

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