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Finding the Third Proportional to 982,367 and 2,147,356

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Solution

The third proportional to 982,367 and 2,147,356 is: 4,693,905.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,367 : 2,147,356 = 2,147,356 : x
  2. Step 2: Convert to fraction form
    982,367/2,147,356 = 2,147,356/x
  3. Step 3: Cross multiply
    982,367x = 2,147,356 × 2,147,356
  4. Step 4: Simplify right side
    982,367x = 4,611,137,790,736
  5. Step 5: Solve for x
    x = 4,611,137,790,736/982,367
  6. Step 6: Final answer
    x = 4,693,905.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.