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Finding the Third Proportional to 539,940 and 1,181,580

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Solution

The third proportional to 539,940 and 1,181,580 is: 2,585,715.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,940 : 1,181,580 = 1,181,580 : x
  2. Step 2: Convert to fraction form
    539,940/1,181,580 = 1,181,580/x
  3. Step 3: Cross multiply
    539,940x = 1,181,580 × 1,181,580
  4. Step 4: Simplify right side
    539,940x = 1,396,131,296,400
  5. Step 5: Solve for x
    x = 1,396,131,296,400/539,940
  6. Step 6: Final answer
    x = 2,585,715.63

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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.