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Finding the Third Proportional to 1,691,620 and 3,647,311

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Solution

The third proportional to 1,691,620 and 3,647,311 is: 7,863,986.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691,620 : 3,647,311 = 3,647,311 : x
  2. Step 2: Convert to fraction form
    1,691,620/3,647,311 = 3,647,311/x
  3. Step 3: Cross multiply
    1,691,620x = 3,647,311 × 3,647,311
  4. Step 4: Simplify right side
    1,691,620x = 13,302,877,530,721
  5. Step 5: Solve for x
    x = 13,302,877,530,721/1,691,620
  6. Step 6: Final answer
    x = 7,863,986.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.