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Finding the Third Proportional to 422,274 and 996,411

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Solution

The third proportional to 422,274 and 996,411 is: 2,351,162.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,274 : 996,411 = 996,411 : x
  2. Step 2: Convert to fraction form
    422,274/996,411 = 996,411/x
  3. Step 3: Cross multiply
    422,274x = 996,411 × 996,411
  4. Step 4: Simplify right side
    422,274x = 992,834,880,921
  5. Step 5: Solve for x
    x = 992,834,880,921/422,274
  6. Step 6: Final answer
    x = 2,351,162.71

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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.