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Finding the Third Proportional to 517,952 and 1,138,686

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Solution

The third proportional to 517,952 and 1,138,686 is: 2,503,331.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,952 : 1,138,686 = 1,138,686 : x
  2. Step 2: Convert to fraction form
    517,952/1,138,686 = 1,138,686/x
  3. Step 3: Cross multiply
    517,952x = 1,138,686 × 1,138,686
  4. Step 4: Simplify right side
    517,952x = 1,296,605,806,596
  5. Step 5: Solve for x
    x = 1,296,605,806,596/517,952
  6. Step 6: Final answer
    x = 2,503,331.98

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.