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Finding the Third Proportional to 1,933,633.50 and 4,147,059

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Solution

The third proportional to 1,933,633.50 and 4,147,059 is: 8,894,187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933,633.50 : 4,147,059 = 4,147,059 : x
  2. Step 2: Convert to fraction form
    1,933,633.50/4,147,059 = 4,147,059/x
  3. Step 3: Cross multiply
    1,933,633.50x = 4,147,059 × 4,147,059
  4. Step 4: Simplify right side
    1,933,633.50x = 17,198,098,349,481
  5. Step 5: Solve for x
    x = 17,198,098,349,481/1,933,633.50
  6. Step 6: Final answer
    x = 8,894,187.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.