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Finding the Third Proportional to 582,562.13 and 1,246,077.42

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Solution

The third proportional to 582,562.13 and 1,246,077.42 is: 2,665,310.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,562.13 : 1,246,077.42 = 1,246,077.42 : x
  2. Step 2: Convert to fraction form
    582,562.13/1,246,077.42 = 1,246,077.42/x
  3. Step 3: Cross multiply
    582,562.13x = 1,246,077.42 × 1,246,077.42
  4. Step 4: Simplify right side
    582,562.13x = 1,552,708,941,306.65
  5. Step 5: Solve for x
    x = 1,552,708,941,306.65/582,562.13
  6. Step 6: Final answer
    x = 2,665,310.49

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.