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Finding the Third Proportional to 381,884 and 822,937

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Solution

The third proportional to 381,884 and 822,937 is: 1,773,379.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,884 : 822,937 = 822,937 : x
  2. Step 2: Convert to fraction form
    381,884/822,937 = 822,937/x
  3. Step 3: Cross multiply
    381,884x = 822,937 × 822,937
  4. Step 4: Simplify right side
    381,884x = 677,225,305,969
  5. Step 5: Solve for x
    x = 677,225,305,969/381,884
  6. Step 6: Final answer
    x = 1,773,379.63

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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.