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Finding the Third Proportional to 433,864 and 888,872

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Solution

The third proportional to 433,864 and 888,872 is: 1,821,062.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,864 : 888,872 = 888,872 : x
  2. Step 2: Convert to fraction form
    433,864/888,872 = 888,872/x
  3. Step 3: Cross multiply
    433,864x = 888,872 × 888,872
  4. Step 4: Simplify right side
    433,864x = 790,093,432,384
  5. Step 5: Solve for x
    x = 790,093,432,384/433,864
  6. Step 6: Final answer
    x = 1,821,062.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.