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Finding the Third Proportional to 539,849 and 1,181,394

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Solution

The third proportional to 539,849 and 1,181,394 is: 2,585,337.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,849 : 1,181,394 = 1,181,394 : x
  2. Step 2: Convert to fraction form
    539,849/1,181,394 = 1,181,394/x
  3. Step 3: Cross multiply
    539,849x = 1,181,394 × 1,181,394
  4. Step 4: Simplify right side
    539,849x = 1,395,691,783,236
  5. Step 5: Solve for x
    x = 1,395,691,783,236/539,849
  6. Step 6: Final answer
    x = 2,585,337.35

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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.