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Finding the Third Proportional to 538,500 and 1,181,448

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Solution

The third proportional to 538,500 and 1,181,448 is: 2,592,050.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,500 : 1,181,448 = 1,181,448 : x
  2. Step 2: Convert to fraction form
    538,500/1,181,448 = 1,181,448/x
  3. Step 3: Cross multiply
    538,500x = 1,181,448 × 1,181,448
  4. Step 4: Simplify right side
    538,500x = 1,395,819,376,704
  5. Step 5: Solve for x
    x = 1,395,819,376,704/538,500
  6. Step 6: Final answer
    x = 2,592,050.84

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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.