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Finding the Third Proportional to 2,001,978 and 4,145,969

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Solution

The third proportional to 2,001,978 and 4,145,969 is: 8,586,037.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001,978 : 4,145,969 = 4,145,969 : x
  2. Step 2: Convert to fraction form
    2,001,978/4,145,969 = 4,145,969/x
  3. Step 3: Cross multiply
    2,001,978x = 4,145,969 × 4,145,969
  4. Step 4: Simplify right side
    2,001,978x = 17,189,058,948,961
  5. Step 5: Solve for x
    x = 17,189,058,948,961/2,001,978
  6. Step 6: Final answer
    x = 8,586,037.88

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.