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Finding the Third Proportional to 433,864 and 888,868

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Solution

The third proportional to 433,864 and 888,868 is: 1,821,046.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,864 : 888,868 = 888,868 : x
  2. Step 2: Convert to fraction form
    433,864/888,868 = 888,868/x
  3. Step 3: Cross multiply
    433,864x = 888,868 × 888,868
  4. Step 4: Simplify right side
    433,864x = 790,086,321,424
  5. Step 5: Solve for x
    x = 790,086,321,424/433,864
  6. Step 6: Final answer
    x = 1,821,046.05

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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.