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Finding the Third Proportional to 1,682,634 and 3,669,716

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Solution

The third proportional to 1,682,634 and 3,669,716 is: 8,003,413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,634 : 3,669,716 = 3,669,716 : x
  2. Step 2: Convert to fraction form
    1,682,634/3,669,716 = 3,669,716/x
  3. Step 3: Cross multiply
    1,682,634x = 3,669,716 × 3,669,716
  4. Step 4: Simplify right side
    1,682,634x = 13,466,815,520,656
  5. Step 5: Solve for x
    x = 13,466,815,520,656/1,682,634
  6. Step 6: Final answer
    x = 8,003,413.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.