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Finding the Third Proportional to 683,589.38 and 1,061,211.38

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Solution

The third proportional to 683,589.38 and 1,061,211.38 is: 1,647,435.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,589.38 : 1,061,211.38 = 1,061,211.38 : x
  2. Step 2: Convert to fraction form
    683,589.38/1,061,211.38 = 1,061,211.38/x
  3. Step 3: Cross multiply
    683,589.38x = 1,061,211.38 × 1,061,211.38
  4. Step 4: Simplify right side
    683,589.38x = 1,126,169,582,429.39
  5. Step 5: Solve for x
    x = 1,126,169,582,429.39/683,589.38
  6. Step 6: Final answer
    x = 1,647,435.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.