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Finding the Third Proportional to 747,997.50 and 1,622,811

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Solution

The third proportional to 747,997.50 and 1,622,811 is: 3,520,754.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,997.50 : 1,622,811 = 1,622,811 : x
  2. Step 2: Convert to fraction form
    747,997.50/1,622,811 = 1,622,811/x
  3. Step 3: Cross multiply
    747,997.50x = 1,622,811 × 1,622,811
  4. Step 4: Simplify right side
    747,997.50x = 2,633,515,541,721
  5. Step 5: Solve for x
    x = 2,633,515,541,721/747,997.50
  6. Step 6: Final answer
    x = 3,520,754.47

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Why These Related Problems?

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