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Finding the Third Proportional to 667,692 and 1,414,845

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Solution

The third proportional to 667,692 and 1,414,845 is: 2,998,068.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,692 : 1,414,845 = 1,414,845 : x
  2. Step 2: Convert to fraction form
    667,692/1,414,845 = 1,414,845/x
  3. Step 3: Cross multiply
    667,692x = 1,414,845 × 1,414,845
  4. Step 4: Simplify right side
    667,692x = 2,001,786,374,025
  5. Step 5: Solve for x
    x = 2,001,786,374,025/667,692
  6. Step 6: Final answer
    x = 2,998,068.53

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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.