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Finding the Third Proportional to 800,376.61 and 1,747,020.23

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Solution

The third proportional to 800,376.61 and 1,747,020.23 is: 3,813,304.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,376.61 : 1,747,020.23 = 1,747,020.23 : x
  2. Step 2: Convert to fraction form
    800,376.61/1,747,020.23 = 1,747,020.23/x
  3. Step 3: Cross multiply
    800,376.61x = 1,747,020.23 × 1,747,020.23
  4. Step 4: Simplify right side
    800,376.61x = 3,052,079,699,315.68
  5. Step 5: Solve for x
    x = 3,052,079,699,315.68/800,376.61
  6. Step 6: Final answer
    x = 3,813,304.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.