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Finding the Third Proportional to 416,286 and 982,371

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Solution

The third proportional to 416,286 and 982,371 is: 2,318,244.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,286 : 982,371 = 982,371 : x
  2. Step 2: Convert to fraction form
    416,286/982,371 = 982,371/x
  3. Step 3: Cross multiply
    416,286x = 982,371 × 982,371
  4. Step 4: Simplify right side
    416,286x = 965,052,781,641
  5. Step 5: Solve for x
    x = 965,052,781,641/416,286
  6. Step 6: Final answer
    x = 2,318,244.62

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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.