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Finding the Third Proportional to 775,344 and 1,644,632

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Solution

The third proportional to 775,344 and 1,644,632 is: 3,488,534.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,344 : 1,644,632 = 1,644,632 : x
  2. Step 2: Convert to fraction form
    775,344/1,644,632 = 1,644,632/x
  3. Step 3: Cross multiply
    775,344x = 1,644,632 × 1,644,632
  4. Step 4: Simplify right side
    775,344x = 2,704,814,415,424
  5. Step 5: Solve for x
    x = 2,704,814,415,424/775,344
  6. Step 6: Final answer
    x = 3,488,534.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.