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Finding the Third Proportional to 747,999 and 1,622,814

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Solution

The third proportional to 747,999 and 1,622,814 is: 3,520,760.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,999 : 1,622,814 = 1,622,814 : x
  2. Step 2: Convert to fraction form
    747,999/1,622,814 = 1,622,814/x
  3. Step 3: Cross multiply
    747,999x = 1,622,814 × 1,622,814
  4. Step 4: Simplify right side
    747,999x = 2,633,525,278,596
  5. Step 5: Solve for x
    x = 2,633,525,278,596/747,999
  6. Step 6: Final answer
    x = 3,520,760.43

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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.