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Finding the Third Proportional to 733,947.75 and 1,097,506.13

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Solution

The third proportional to 733,947.75 and 1,097,506.13 is: 1,641,151.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,947.75 : 1,097,506.13 = 1,097,506.13 : x
  2. Step 2: Convert to fraction form
    733,947.75/1,097,506.13 = 1,097,506.13/x
  3. Step 3: Cross multiply
    733,947.75x = 1,097,506.13 × 1,097,506.13
  4. Step 4: Simplify right side
    733,947.75x = 1,204,519,694,412.52
  5. Step 5: Solve for x
    x = 1,204,519,694,412.52/733,947.75
  6. Step 6: Final answer
    x = 1,641,151.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.