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Finding the Third Proportional to 422,611 and 996,623

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Solution

The third proportional to 422,611 and 996,623 is: 2,350,287.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,611 : 996,623 = 996,623 : x
  2. Step 2: Convert to fraction form
    422,611/996,623 = 996,623/x
  3. Step 3: Cross multiply
    422,611x = 996,623 × 996,623
  4. Step 4: Simplify right side
    422,611x = 993,257,404,129
  5. Step 5: Solve for x
    x = 993,257,404,129/422,611
  6. Step 6: Final answer
    x = 2,350,287.63

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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.