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Finding the Third Proportional to 982,384 and 2,114,165

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Solution

The third proportional to 982,384 and 2,114,165 is: 4,549,843.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,384 : 2,114,165 = 2,114,165 : x
  2. Step 2: Convert to fraction form
    982,384/2,114,165 = 2,114,165/x
  3. Step 3: Cross multiply
    982,384x = 2,114,165 × 2,114,165
  4. Step 4: Simplify right side
    982,384x = 4,469,693,647,225
  5. Step 5: Solve for x
    x = 4,469,693,647,225/982,384
  6. Step 6: Final answer
    x = 4,549,843.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.