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Finding the Third Proportional to 679,134 and 1,414,077

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Solution

The third proportional to 679,134 and 1,414,077 is: 2,944,358.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,134 : 1,414,077 = 1,414,077 : x
  2. Step 2: Convert to fraction form
    679,134/1,414,077 = 1,414,077/x
  3. Step 3: Cross multiply
    679,134x = 1,414,077 × 1,414,077
  4. Step 4: Simplify right side
    679,134x = 1,999,613,761,929
  5. Step 5: Solve for x
    x = 1,999,613,761,929/679,134
  6. Step 6: Final answer
    x = 2,944,358.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.