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Finding the Third Proportional to 819,296 and 1,677,950

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Solution

The third proportional to 819,296 and 1,677,950 is: 3,436,506.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,296 : 1,677,950 = 1,677,950 : x
  2. Step 2: Convert to fraction form
    819,296/1,677,950 = 1,677,950/x
  3. Step 3: Cross multiply
    819,296x = 1,677,950 × 1,677,950
  4. Step 4: Simplify right side
    819,296x = 2,815,516,202,500
  5. Step 5: Solve for x
    x = 2,815,516,202,500/819,296
  6. Step 6: Final answer
    x = 3,436,506.71

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