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Finding the Third Proportional to 433,876 and 888,888

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Solution

The third proportional to 433,876 and 888,888 is: 1,821,077.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,876 : 888,888 = 888,888 : x
  2. Step 2: Convert to fraction form
    433,876/888,888 = 888,888/x
  3. Step 3: Cross multiply
    433,876x = 888,888 × 888,888
  4. Step 4: Simplify right side
    433,876x = 790,121,876,544
  5. Step 5: Solve for x
    x = 790,121,876,544/433,876
  6. Step 6: Final answer
    x = 1,821,077.63

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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.