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Finding the Third Proportional to 914,449.50 and 1,424,020.50

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Solution

The third proportional to 914,449.50 and 1,424,020.50 is: 2,217,546.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,449.50 : 1,424,020.50 = 1,424,020.50 : x
  2. Step 2: Convert to fraction form
    914,449.50/1,424,020.50 = 1,424,020.50/x
  3. Step 3: Cross multiply
    914,449.50x = 1,424,020.50 × 1,424,020.50
  4. Step 4: Simplify right side
    914,449.50x = 2,027,834,384,420.25
  5. Step 5: Solve for x
    x = 2,027,834,384,420.25/914,449.50
  6. Step 6: Final answer
    x = 2,217,546.61

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.