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Finding the Third Proportional to 422,398 and 879,744

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Solution

The third proportional to 422,398 and 879,744 is: 1,832,275.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,398 : 879,744 = 879,744 : x
  2. Step 2: Convert to fraction form
    422,398/879,744 = 879,744/x
  3. Step 3: Cross multiply
    422,398x = 879,744 × 879,744
  4. Step 4: Simplify right side
    422,398x = 773,949,505,536
  5. Step 5: Solve for x
    x = 773,949,505,536/422,398
  6. Step 6: Final answer
    x = 1,832,275.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.