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Finding the Third Proportional to 605,616.75 and 1,311,562.13

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Solution

The third proportional to 605,616.75 and 1,311,562.13 is: 2,840,402.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,616.75 : 1,311,562.13 = 1,311,562.13 : x
  2. Step 2: Convert to fraction form
    605,616.75/1,311,562.13 = 1,311,562.13/x
  3. Step 3: Cross multiply
    605,616.75x = 1,311,562.13 × 1,311,562.13
  4. Step 4: Simplify right side
    605,616.75x = 1,720,195,207,734.52
  5. Step 5: Solve for x
    x = 1,720,195,207,734.52/605,616.75
  6. Step 6: Final answer
    x = 2,840,402.30

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.