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Finding the Third Proportional to 500,716.69 and 1,094,517.56

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Solution

The third proportional to 500,716.69 and 1,094,517.56 is: 2,392,508.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,716.69 : 1,094,517.56 = 1,094,517.56 : x
  2. Step 2: Convert to fraction form
    500,716.69/1,094,517.56 = 1,094,517.56/x
  3. Step 3: Cross multiply
    500,716.69x = 1,094,517.56 × 1,094,517.56
  4. Step 4: Simplify right side
    500,716.69x = 1,197,968,694,620.94
  5. Step 5: Solve for x
    x = 1,197,968,694,620.94/500,716.69
  6. Step 6: Final answer
    x = 2,392,508.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.