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Finding the Third Proportional to 576,826.31 and 1,257,446.53

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Solution

The third proportional to 576,826.31 and 1,257,446.53 is: 2,741,157.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,826.31 : 1,257,446.53 = 1,257,446.53 : x
  2. Step 2: Convert to fraction form
    576,826.31/1,257,446.53 = 1,257,446.53/x
  3. Step 3: Cross multiply
    576,826.31x = 1,257,446.53 × 1,257,446.53
  4. Step 4: Simplify right side
    576,826.31x = 1,581,171,778,952.66
  5. Step 5: Solve for x
    x = 1,581,171,778,952.66/576,826.31
  6. Step 6: Final answer
    x = 2,741,157.51

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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.