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Finding the Third Proportional to 1,149,309 and 2,331,450

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Solution

The third proportional to 1,149,309 and 2,331,450 is: 4,729,501.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149,309 : 2,331,450 = 2,331,450 : x
  2. Step 2: Convert to fraction form
    1,149,309/2,331,450 = 2,331,450/x
  3. Step 3: Cross multiply
    1,149,309x = 2,331,450 × 2,331,450
  4. Step 4: Simplify right side
    1,149,309x = 5,435,659,102,500
  5. Step 5: Solve for x
    x = 5,435,659,102,500/1,149,309
  6. Step 6: Final answer
    x = 4,729,501.90

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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.