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Finding the Third Proportional to 454,309.88 and 991,140.75

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Solution

The third proportional to 454,309.88 and 991,140.75 is: 2,162,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,309.88 : 991,140.75 = 991,140.75 : x
  2. Step 2: Convert to fraction form
    454,309.88/991,140.75 = 991,140.75/x
  3. Step 3: Cross multiply
    454,309.88x = 991,140.75 × 991,140.75
  4. Step 4: Simplify right side
    454,309.88x = 982,359,986,310.56
  5. Step 5: Solve for x
    x = 982,359,986,310.56/454,309.88
  6. Step 6: Final answer
    x = 2,162,312.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.