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Finding the Third Proportional to 394,096 and 819,643

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Solution

The third proportional to 394,096 and 819,643 is: 1,704,697.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,096 : 819,643 = 819,643 : x
  2. Step 2: Convert to fraction form
    394,096/819,643 = 819,643/x
  3. Step 3: Cross multiply
    394,096x = 819,643 × 819,643
  4. Step 4: Simplify right side
    394,096x = 671,814,647,449
  5. Step 5: Solve for x
    x = 671,814,647,449/394,096
  6. Step 6: Final answer
    x = 1,704,697.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.