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Finding the Third Proportional to 422,630 and 996,656

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Solution

The third proportional to 422,630 and 996,656 is: 2,350,337.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,630 : 996,656 = 996,656 : x
  2. Step 2: Convert to fraction form
    422,630/996,656 = 996,656/x
  3. Step 3: Cross multiply
    422,630x = 996,656 × 996,656
  4. Step 4: Simplify right side
    422,630x = 993,323,182,336
  5. Step 5: Solve for x
    x = 993,323,182,336/422,630
  6. Step 6: Final answer
    x = 2,350,337.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.