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Finding the Third Proportional to 3,743,750 and 5,475,225

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Solution

The third proportional to 3,743,750 and 5,475,225 is: 8,007,502.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743,750 : 5,475,225 = 5,475,225 : x
  2. Step 2: Convert to fraction form
    3,743,750/5,475,225 = 5,475,225/x
  3. Step 3: Cross multiply
    3,743,750x = 5,475,225 × 5,475,225
  4. Step 4: Simplify right side
    3,743,750x = 29,978,088,800,625
  5. Step 5: Solve for x
    x = 29,978,088,800,625/3,743,750
  6. Step 6: Final answer
    x = 8,007,502.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.