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Finding the Third Proportional to 1,149,170 and 2,331,170

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Solution

The third proportional to 1,149,170 and 2,331,170 is: 4,728,937.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149,170 : 2,331,170 = 2,331,170 : x
  2. Step 2: Convert to fraction form
    1,149,170/2,331,170 = 2,331,170/x
  3. Step 3: Cross multiply
    1,149,170x = 2,331,170 × 2,331,170
  4. Step 4: Simplify right side
    1,149,170x = 5,434,353,568,900
  5. Step 5: Solve for x
    x = 5,434,353,568,900/1,149,170
  6. Step 6: Final answer
    x = 4,728,937.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.