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Finding the Third Proportional to 449,462.25 and 965,626.88

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Solution

The third proportional to 449,462.25 and 965,626.88 is: 2,074,557.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,462.25 : 965,626.88 = 965,626.88 : x
  2. Step 2: Convert to fraction form
    449,462.25/965,626.88 = 965,626.88/x
  3. Step 3: Cross multiply
    449,462.25x = 965,626.88 × 965,626.88
  4. Step 4: Simplify right side
    449,462.25x = 932,435,261,722.27
  5. Step 5: Solve for x
    x = 932,435,261,722.27/449,462.25
  6. Step 6: Final answer
    x = 2,074,557.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.