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Finding the Third Proportional to 641,108 and 996,632

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Solution

The third proportional to 641,108 and 996,632 is: 1,549,310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,108 : 996,632 = 996,632 : x
  2. Step 2: Convert to fraction form
    641,108/996,632 = 996,632/x
  3. Step 3: Cross multiply
    641,108x = 996,632 × 996,632
  4. Step 4: Simplify right side
    641,108x = 993,275,343,424
  5. Step 5: Solve for x
    x = 993,275,343,424/641,108
  6. Step 6: Final answer
    x = 1,549,310.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.