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Finding the Third Proportional to 542,930 and 1,157,965

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Solution

The third proportional to 542,930 and 1,157,965 is: 2,469,716.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,930 : 1,157,965 = 1,157,965 : x
  2. Step 2: Convert to fraction form
    542,930/1,157,965 = 1,157,965/x
  3. Step 3: Cross multiply
    542,930x = 1,157,965 × 1,157,965
  4. Step 4: Simplify right side
    542,930x = 1,340,882,941,225
  5. Step 5: Solve for x
    x = 1,340,882,941,225/542,930
  6. Step 6: Final answer
    x = 2,469,716.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.