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Finding the Third Proportional to 3,206,802 and 6,678,960

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Solution

The third proportional to 3,206,802 and 6,678,960 is: 13,910,589.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206,802 : 6,678,960 = 6,678,960 : x
  2. Step 2: Convert to fraction form
    3,206,802/6,678,960 = 6,678,960/x
  3. Step 3: Cross multiply
    3,206,802x = 6,678,960 × 6,678,960
  4. Step 4: Simplify right side
    3,206,802x = 44,608,506,681,600
  5. Step 5: Solve for x
    x = 44,608,506,681,600/3,206,802
  6. Step 6: Final answer
    x = 13,910,589.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.