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Finding the Third Proportional to 2,065,895 and 3,206,613

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Solution

The third proportional to 2,065,895 and 3,206,613 is: 4,977,197.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,895 : 3,206,613 = 3,206,613 : x
  2. Step 2: Convert to fraction form
    2,065,895/3,206,613 = 3,206,613/x
  3. Step 3: Cross multiply
    2,065,895x = 3,206,613 × 3,206,613
  4. Step 4: Simplify right side
    2,065,895x = 10,282,366,931,769
  5. Step 5: Solve for x
    x = 10,282,366,931,769/2,065,895
  6. Step 6: Final answer
    x = 4,977,197.26

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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.