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Finding the Third Proportional to 800,517.50 and 1,715,442

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Solution

The third proportional to 800,517.50 and 1,715,442 is: 3,676,048.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,517.50 : 1,715,442 = 1,715,442 : x
  2. Step 2: Convert to fraction form
    800,517.50/1,715,442 = 1,715,442/x
  3. Step 3: Cross multiply
    800,517.50x = 1,715,442 × 1,715,442
  4. Step 4: Simplify right side
    800,517.50x = 2,942,741,255,364
  5. Step 5: Solve for x
    x = 2,942,741,255,364/800,517.50
  6. Step 6: Final answer
    x = 3,676,048.63

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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.