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Finding the Third Proportional to 539,914.78 and 1,181,524.78

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Solution

The third proportional to 539,914.78 and 1,181,524.78 is: 2,585,594.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,914.78 : 1,181,524.78 = 1,181,524.78 : x
  2. Step 2: Convert to fraction form
    539,914.78/1,181,524.78 = 1,181,524.78/x
  3. Step 3: Cross multiply
    539,914.78x = 1,181,524.78 × 1,181,524.78
  4. Step 4: Simplify right side
    539,914.78x = 1,396,000,808,707.86
  5. Step 5: Solve for x
    x = 1,396,000,808,707.86/539,914.78
  6. Step 6: Final answer
    x = 2,585,594.72

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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.