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Finding the Third Proportional to 667,719 and 1,414,893

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Solution

The third proportional to 667,719 and 1,414,893 is: 2,998,150.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,719 : 1,414,893 = 1,414,893 : x
  2. Step 2: Convert to fraction form
    667,719/1,414,893 = 1,414,893/x
  3. Step 3: Cross multiply
    667,719x = 1,414,893 × 1,414,893
  4. Step 4: Simplify right side
    667,719x = 2,001,922,201,449
  5. Step 5: Solve for x
    x = 2,001,922,201,449/667,719
  6. Step 6: Final answer
    x = 2,998,150.72

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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.