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Finding the Third Proportional to 1,133,624.25 and 1,694,388.38

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Solution

The third proportional to 1,133,624.25 and 1,694,388.38 is: 2,532,542.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133,624.25 : 1,694,388.38 = 1,694,388.38 : x
  2. Step 2: Convert to fraction form
    1,133,624.25/1,694,388.38 = 1,694,388.38/x
  3. Step 3: Cross multiply
    1,133,624.25x = 1,694,388.38 × 1,694,388.38
  4. Step 4: Simplify right side
    1,133,624.25x = 2,870,951,965,335.14
  5. Step 5: Solve for x
    x = 2,870,951,965,335.14/1,133,624.25
  6. Step 6: Final answer
    x = 2,532,542.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.