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Finding the Third Proportional to 3,542,682 and 5,639,823

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Solution

The third proportional to 3,542,682 and 5,639,823 is: 8,978,396.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542,682 : 5,639,823 = 5,639,823 : x
  2. Step 2: Convert to fraction form
    3,542,682/5,639,823 = 5,639,823/x
  3. Step 3: Cross multiply
    3,542,682x = 5,639,823 × 5,639,823
  4. Step 4: Simplify right side
    3,542,682x = 31,807,603,471,329
  5. Step 5: Solve for x
    x = 31,807,603,471,329/3,542,682
  6. Step 6: Final answer
    x = 8,978,396.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.