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Finding the Third Proportional to 582,452 and 1,279,108

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Solution

The third proportional to 582,452 and 1,279,108 is: 2,809,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,452 : 1,279,108 = 1,279,108 : x
  2. Step 2: Convert to fraction form
    582,452/1,279,108 = 1,279,108/x
  3. Step 3: Cross multiply
    582,452x = 1,279,108 × 1,279,108
  4. Step 4: Simplify right side
    582,452x = 1,636,117,275,664
  5. Step 5: Solve for x
    x = 1,636,117,275,664/582,452
  6. Step 6: Final answer
    x = 2,809,016.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.