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Finding the Third Proportional to 539,890 and 1,181,170

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Solution

The third proportional to 539,890 and 1,181,170 is: 2,584,160.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,890 : 1,181,170 = 1,181,170 : x
  2. Step 2: Convert to fraction form
    539,890/1,181,170 = 1,181,170/x
  3. Step 3: Cross multiply
    539,890x = 1,181,170 × 1,181,170
  4. Step 4: Simplify right side
    539,890x = 1,395,162,568,900
  5. Step 5: Solve for x
    x = 1,395,162,568,900/539,890
  6. Step 6: Final answer
    x = 2,584,160.79

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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.