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Finding the Third Proportional to 452,405.25 and 994,470.75

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Solution

The third proportional to 452,405.25 and 994,470.75 is: 2,186,031.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,405.25 : 994,470.75 = 994,470.75 : x
  2. Step 2: Convert to fraction form
    452,405.25/994,470.75 = 994,470.75/x
  3. Step 3: Cross multiply
    452,405.25x = 994,470.75 × 994,470.75
  4. Step 4: Simplify right side
    452,405.25x = 988,972,072,605.56
  5. Step 5: Solve for x
    x = 988,972,072,605.56/452,405.25
  6. Step 6: Final answer
    x = 2,186,031.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.