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Finding the Third Proportional to 2,002,996 and 2,728,014

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Solution

The third proportional to 2,002,996 and 2,728,014 is: 3,715,464.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002,996 : 2,728,014 = 2,728,014 : x
  2. Step 2: Convert to fraction form
    2,002,996/2,728,014 = 2,728,014/x
  3. Step 3: Cross multiply
    2,002,996x = 2,728,014 × 2,728,014
  4. Step 4: Simplify right side
    2,002,996x = 7,442,060,384,196
  5. Step 5: Solve for x
    x = 7,442,060,384,196/2,002,996
  6. Step 6: Final answer
    x = 3,715,464.43

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.