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Finding the Third Proportional to 449,229.38 and 973,150.88

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Solution

The third proportional to 449,229.38 and 973,150.88 is: 2,108,104.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,229.38 : 973,150.88 = 973,150.88 : x
  2. Step 2: Convert to fraction form
    449,229.38/973,150.88 = 973,150.88/x
  3. Step 3: Cross multiply
    449,229.38x = 973,150.88 × 973,150.88
  4. Step 4: Simplify right side
    449,229.38x = 947,022,625,513.27
  5. Step 5: Solve for x
    x = 947,022,625,513.27/449,229.38
  6. Step 6: Final answer
    x = 2,108,104.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.