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Finding the Third Proportional to 1,682,868 and 3,670,331

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Solution

The third proportional to 1,682,868 and 3,670,331 is: 8,004,982.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,868 : 3,670,331 = 3,670,331 : x
  2. Step 2: Convert to fraction form
    1,682,868/3,670,331 = 3,670,331/x
  3. Step 3: Cross multiply
    1,682,868x = 3,670,331 × 3,670,331
  4. Step 4: Simplify right side
    1,682,868x = 13,471,329,649,561
  5. Step 5: Solve for x
    x = 13,471,329,649,561/1,682,868
  6. Step 6: Final answer
    x = 8,004,982.95

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Why These Related Problems?

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