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Finding the Third Proportional to 539,948 and 1,181,592

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Solution

The third proportional to 539,948 and 1,181,592 is: 2,585,729.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,948 : 1,181,592 = 1,181,592 : x
  2. Step 2: Convert to fraction form
    539,948/1,181,592 = 1,181,592/x
  3. Step 3: Cross multiply
    539,948x = 1,181,592 × 1,181,592
  4. Step 4: Simplify right side
    539,948x = 1,396,159,654,464
  5. Step 5: Solve for x
    x = 1,396,159,654,464/539,948
  6. Step 6: Final answer
    x = 2,585,729.84

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