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Finding the Third Proportional to 576,249 and 1,257,474

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Solution

The third proportional to 576,249 and 1,257,474 is: 2,744,023.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,249 : 1,257,474 = 1,257,474 : x
  2. Step 2: Convert to fraction form
    576,249/1,257,474 = 1,257,474/x
  3. Step 3: Cross multiply
    576,249x = 1,257,474 × 1,257,474
  4. Step 4: Simplify right side
    576,249x = 1,581,240,860,676
  5. Step 5: Solve for x
    x = 1,581,240,860,676/576,249
  6. Step 6: Final answer
    x = 2,744,023.61

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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.