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Finding the Third Proportional to 2,065,889 and 3,206,604

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Solution

The third proportional to 2,065,889 and 3,206,604 is: 4,977,183.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,889 : 3,206,604 = 3,206,604 : x
  2. Step 2: Convert to fraction form
    2,065,889/3,206,604 = 3,206,604/x
  3. Step 3: Cross multiply
    2,065,889x = 3,206,604 × 3,206,604
  4. Step 4: Simplify right side
    2,065,889x = 10,282,309,212,816
  5. Step 5: Solve for x
    x = 10,282,309,212,816/2,065,889
  6. Step 6: Final answer
    x = 4,977,183.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.