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Finding the Third Proportional to 827,499.38 and 1,785,629.25

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Solution

The third proportional to 827,499.38 and 1,785,629.25 is: 3,853,141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,499.38 : 1,785,629.25 = 1,785,629.25 : x
  2. Step 2: Convert to fraction form
    827,499.38/1,785,629.25 = 1,785,629.25/x
  3. Step 3: Cross multiply
    827,499.38x = 1,785,629.25 × 1,785,629.25
  4. Step 4: Simplify right side
    827,499.38x = 3,188,471,818,455.56
  5. Step 5: Solve for x
    x = 3,188,471,818,455.56/827,499.38
  6. Step 6: Final answer
    x = 3,853,141.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.