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Finding the Third Proportional to 519,002.44 and 1,123,297.88

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Solution

The third proportional to 519,002.44 and 1,123,297.88 is: 2,431,198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,002.44 : 1,123,297.88 = 1,123,297.88 : x
  2. Step 2: Convert to fraction form
    519,002.44/1,123,297.88 = 1,123,297.88/x
  3. Step 3: Cross multiply
    519,002.44x = 1,123,297.88 × 1,123,297.88
  4. Step 4: Simplify right side
    519,002.44x = 1,261,798,115,979.52
  5. Step 5: Solve for x
    x = 1,261,798,115,979.52/519,002.44
  6. Step 6: Final answer
    x = 2,431,198.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.