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Finding the Third Proportional to 605,978 and 1,275,844

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Solution

The third proportional to 605,978 and 1,275,844 is: 2,686,199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,978 : 1,275,844 = 1,275,844 : x
  2. Step 2: Convert to fraction form
    605,978/1,275,844 = 1,275,844/x
  3. Step 3: Cross multiply
    605,978x = 1,275,844 × 1,275,844
  4. Step 4: Simplify right side
    605,978x = 1,627,777,912,336
  5. Step 5: Solve for x
    x = 1,627,777,912,336/605,978
  6. Step 6: Final answer
    x = 2,686,199.68

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.