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Finding the Third Proportional to 576,737.24 and 1,262,037.11

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Solution

The third proportional to 576,737.24 and 1,262,037.11 is: 2,761,634.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,737.24 : 1,262,037.11 = 1,262,037.11 : x
  2. Step 2: Convert to fraction form
    576,737.24/1,262,037.11 = 1,262,037.11/x
  3. Step 3: Cross multiply
    576,737.24x = 1,262,037.11 × 1,262,037.11
  4. Step 4: Simplify right side
    576,737.24x = 1,592,737,670,369.38
  5. Step 5: Solve for x
    x = 1,592,737,670,369.38/576,737.24
  6. Step 6: Final answer
    x = 2,761,634.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.