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Finding the Third Proportional to 383,702 and 843,544

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Solution

The third proportional to 383,702 and 843,544 is: 1,854,476.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,702 : 843,544 = 843,544 : x
  2. Step 2: Convert to fraction form
    383,702/843,544 = 843,544/x
  3. Step 3: Cross multiply
    383,702x = 843,544 × 843,544
  4. Step 4: Simplify right side
    383,702x = 711,566,479,936
  5. Step 5: Solve for x
    x = 711,566,479,936/383,702
  6. Step 6: Final answer
    x = 1,854,476.86

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Why These Related Problems?

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