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Finding the Third Proportional to 460,244.25 and 984,453.75

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Solution

The third proportional to 460,244.25 and 984,453.75 is: 2,105,727.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,244.25 : 984,453.75 = 984,453.75 : x
  2. Step 2: Convert to fraction form
    460,244.25/984,453.75 = 984,453.75/x
  3. Step 3: Cross multiply
    460,244.25x = 984,453.75 × 984,453.75
  4. Step 4: Simplify right side
    460,244.25x = 969,149,185,889.06
  5. Step 5: Solve for x
    x = 969,149,185,889.06/460,244.25
  6. Step 6: Final answer
    x = 2,105,727.96

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.