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Finding the Third Proportional to 1,447,663 and 2,858,993

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Solution

The third proportional to 1,447,663 and 2,858,993 is: 5,646,231.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447,663 : 2,858,993 = 2,858,993 : x
  2. Step 2: Convert to fraction form
    1,447,663/2,858,993 = 2,858,993/x
  3. Step 3: Cross multiply
    1,447,663x = 2,858,993 × 2,858,993
  4. Step 4: Simplify right side
    1,447,663x = 8,173,840,974,049
  5. Step 5: Solve for x
    x = 8,173,840,974,049/1,447,663
  6. Step 6: Final answer
    x = 5,646,231.87

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.