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Finding the Third Proportional to 383,984 and 826,836

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Solution

The third proportional to 383,984 and 826,836 is: 1,780,432.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,984 : 826,836 = 826,836 : x
  2. Step 2: Convert to fraction form
    383,984/826,836 = 826,836/x
  3. Step 3: Cross multiply
    383,984x = 826,836 × 826,836
  4. Step 4: Simplify right side
    383,984x = 683,657,770,896
  5. Step 5: Solve for x
    x = 683,657,770,896/383,984
  6. Step 6: Final answer
    x = 1,780,432.96

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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.