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Finding the Third Proportional to 539,934 and 1,181,568

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Solution

The third proportional to 539,934 and 1,181,568 is: 2,585,691.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,934 : 1,181,568 = 1,181,568 : x
  2. Step 2: Convert to fraction form
    539,934/1,181,568 = 1,181,568/x
  3. Step 3: Cross multiply
    539,934x = 1,181,568 × 1,181,568
  4. Step 4: Simplify right side
    539,934x = 1,396,102,938,624
  5. Step 5: Solve for x
    x = 1,396,102,938,624/539,934
  6. Step 6: Final answer
    x = 2,585,691.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.