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Finding the Third Proportional to 452,338 and 941,876

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Solution

The third proportional to 452,338 and 941,876 is: 1,961,211.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,338 : 941,876 = 941,876 : x
  2. Step 2: Convert to fraction form
    452,338/941,876 = 941,876/x
  3. Step 3: Cross multiply
    452,338x = 941,876 × 941,876
  4. Step 4: Simplify right side
    452,338x = 887,130,399,376
  5. Step 5: Solve for x
    x = 887,130,399,376/452,338
  6. Step 6: Final answer
    x = 1,961,211.31

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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.