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Finding the Third Proportional to 667,686 and 1,414,833

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Solution

The third proportional to 667,686 and 1,414,833 is: 2,998,044.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,686 : 1,414,833 = 1,414,833 : x
  2. Step 2: Convert to fraction form
    667,686/1,414,833 = 1,414,833/x
  3. Step 3: Cross multiply
    667,686x = 1,414,833 × 1,414,833
  4. Step 4: Simplify right side
    667,686x = 2,001,752,417,889
  5. Step 5: Solve for x
    x = 2,001,752,417,889/667,686
  6. Step 6: Final answer
    x = 2,998,044.62

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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.