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Finding the Third Proportional to 517,902 and 1,129,950

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Solution

The third proportional to 517,902 and 1,129,950 is: 2,465,306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,902 : 1,129,950 = 1,129,950 : x
  2. Step 2: Convert to fraction form
    517,902/1,129,950 = 1,129,950/x
  3. Step 3: Cross multiply
    517,902x = 1,129,950 × 1,129,950
  4. Step 4: Simplify right side
    517,902x = 1,276,787,002,500
  5. Step 5: Solve for x
    x = 1,276,787,002,500/517,902
  6. Step 6: Final answer
    x = 2,465,306.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.