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Finding the Third Proportional to 674,961.61 and 1,471,249.83

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Solution

The third proportional to 674,961.61 and 1,471,249.83 is: 3,206,961.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,961.61 : 1,471,249.83 = 1,471,249.83 : x
  2. Step 2: Convert to fraction form
    674,961.61/1,471,249.83 = 1,471,249.83/x
  3. Step 3: Cross multiply
    674,961.61x = 1,471,249.83 × 1,471,249.83
  4. Step 4: Simplify right side
    674,961.61x = 2,164,576,056,757.84
  5. Step 5: Solve for x
    x = 2,164,576,056,757.84/674,961.61
  6. Step 6: Final answer
    x = 3,206,961.74

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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.