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Finding the Third Proportional to 814,452 and 1,242,744

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Solution

The third proportional to 814,452 and 1,242,744 is: 1,896,259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,452 : 1,242,744 = 1,242,744 : x
  2. Step 2: Convert to fraction form
    814,452/1,242,744 = 1,242,744/x
  3. Step 3: Cross multiply
    814,452x = 1,242,744 × 1,242,744
  4. Step 4: Simplify right side
    814,452x = 1,544,412,649,536
  5. Step 5: Solve for x
    x = 1,544,412,649,536/814,452
  6. Step 6: Final answer
    x = 1,896,259.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.