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Finding the Third Proportional to 826,896.38 and 1,780,479

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Solution

The third proportional to 826,896.38 and 1,780,479 is: 3,833,739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,896.38 : 1,780,479 = 1,780,479 : x
  2. Step 2: Convert to fraction form
    826,896.38/1,780,479 = 1,780,479/x
  3. Step 3: Cross multiply
    826,896.38x = 1,780,479 × 1,780,479
  4. Step 4: Simplify right side
    826,896.38x = 3,170,105,469,441
  5. Step 5: Solve for x
    x = 3,170,105,469,441/826,896.38
  6. Step 6: Final answer
    x = 3,833,739.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.