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Finding the Third Proportional to 383,692 and 843,524

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Solution

The third proportional to 383,692 and 843,524 is: 1,854,437.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,692 : 843,524 = 843,524 : x
  2. Step 2: Convert to fraction form
    383,692/843,524 = 843,524/x
  3. Step 3: Cross multiply
    383,692x = 843,524 × 843,524
  4. Step 4: Simplify right side
    383,692x = 711,532,738,576
  5. Step 5: Solve for x
    x = 711,532,738,576/383,692
  6. Step 6: Final answer
    x = 1,854,437.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.