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Finding the Third Proportional to 422,712 and 996,845

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Solution

The third proportional to 422,712 and 996,845 is: 2,350,772.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,712 : 996,845 = 996,845 : x
  2. Step 2: Convert to fraction form
    422,712/996,845 = 996,845/x
  3. Step 3: Cross multiply
    422,712x = 996,845 × 996,845
  4. Step 4: Simplify right side
    422,712x = 993,699,954,025
  5. Step 5: Solve for x
    x = 993,699,954,025/422,712
  6. Step 6: Final answer
    x = 2,350,772.99

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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.