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Finding the Third Proportional to 383,924 and 826,715

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Solution

The third proportional to 383,924 and 826,715 is: 1,780,190.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,924 : 826,715 = 826,715 : x
  2. Step 2: Convert to fraction form
    383,924/826,715 = 826,715/x
  3. Step 3: Cross multiply
    383,924x = 826,715 × 826,715
  4. Step 4: Simplify right side
    383,924x = 683,457,691,225
  5. Step 5: Solve for x
    x = 683,457,691,225/383,924
  6. Step 6: Final answer
    x = 1,780,190.07

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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.