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Finding the Third Proportional to 827,247.94 and 1,170,614.53

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Solution

The third proportional to 827,247.94 and 1,170,614.53 is: 1,656,502.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,247.94 : 1,170,614.53 = 1,170,614.53 : x
  2. Step 2: Convert to fraction form
    827,247.94/1,170,614.53 = 1,170,614.53/x
  3. Step 3: Cross multiply
    827,247.94x = 1,170,614.53 × 1,170,614.53
  4. Step 4: Simplify right side
    827,247.94x = 1,370,338,380,773.66
  5. Step 5: Solve for x
    x = 1,370,338,380,773.66/827,247.94
  6. Step 6: Final answer
    x = 1,656,502.63

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.