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Finding the Third Proportional to 416,314 and 982,441

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Solution

The third proportional to 416,314 and 982,441 is: 2,318,419.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,314 : 982,441 = 982,441 : x
  2. Step 2: Convert to fraction form
    416,314/982,441 = 982,441/x
  3. Step 3: Cross multiply
    416,314x = 982,441 × 982,441
  4. Step 4: Simplify right side
    416,314x = 965,190,318,481
  5. Step 5: Solve for x
    x = 965,190,318,481/416,314
  6. Step 6: Final answer
    x = 2,318,419.07

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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.