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Finding the Third Proportional to 577,694.21 and 1,246,729.85

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Solution

The third proportional to 577,694.21 and 1,246,729.85 is: 2,690,584.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,694.21 : 1,246,729.85 = 1,246,729.85 : x
  2. Step 2: Convert to fraction form
    577,694.21/1,246,729.85 = 1,246,729.85/x
  3. Step 3: Cross multiply
    577,694.21x = 1,246,729.85 × 1,246,729.85
  4. Step 4: Simplify right side
    577,694.21x = 1,554,335,322,777.05
  5. Step 5: Solve for x
    x = 1,554,335,322,777.05/577,694.21
  6. Step 6: Final answer
    x = 2,690,584.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.