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Finding the Third Proportional to 449,517.94 and 956,247.19

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Solution

The third proportional to 449,517.94 and 956,247.19 is: 2,034,198.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,517.94 : 956,247.19 = 956,247.19 : x
  2. Step 2: Convert to fraction form
    449,517.94/956,247.19 = 956,247.19/x
  3. Step 3: Cross multiply
    449,517.94x = 956,247.19 × 956,247.19
  4. Step 4: Simplify right side
    449,517.94x = 914,408,683,601.66
  5. Step 5: Solve for x
    x = 914,408,683,601.66/449,517.94
  6. Step 6: Final answer
    x = 2,034,198.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.