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Finding the Third Proportional to 1,042,978 and 2,511,749

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Solution

The third proportional to 1,042,978 and 2,511,749 is: 6,048,912.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042,978 : 2,511,749 = 2,511,749 : x
  2. Step 2: Convert to fraction form
    1,042,978/2,511,749 = 2,511,749/x
  3. Step 3: Cross multiply
    1,042,978x = 2,511,749 × 2,511,749
  4. Step 4: Simplify right side
    1,042,978x = 6,308,883,039,001
  5. Step 5: Solve for x
    x = 6,308,883,039,001/1,042,978
  6. Step 6: Final answer
    x = 6,048,912.86

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.