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Finding the Third Proportional to 518,952 and 1,123,198

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Solution

The third proportional to 518,952 and 1,123,198 is: 2,431,002.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,952 : 1,123,198 = 1,123,198 : x
  2. Step 2: Convert to fraction form
    518,952/1,123,198 = 1,123,198/x
  3. Step 3: Cross multiply
    518,952x = 1,123,198 × 1,123,198
  4. Step 4: Simplify right side
    518,952x = 1,261,573,747,204
  5. Step 5: Solve for x
    x = 1,261,573,747,204/518,952
  6. Step 6: Final answer
    x = 2,431,002.77

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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.