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Finding the Third Proportional to 542,960 and 1,170,060

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Solution

The third proportional to 542,960 and 1,170,060 is: 2,521,438.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,960 : 1,170,060 = 1,170,060 : x
  2. Step 2: Convert to fraction form
    542,960/1,170,060 = 1,170,060/x
  3. Step 3: Cross multiply
    542,960x = 1,170,060 × 1,170,060
  4. Step 4: Simplify right side
    542,960x = 1,369,040,403,600
  5. Step 5: Solve for x
    x = 1,369,040,403,600/542,960
  6. Step 6: Final answer
    x = 2,521,438.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.