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Finding the Third Proportional to 2,765,912.06 and 4,198,697.44

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Solution

The third proportional to 2,765,912.06 and 4,198,697.44 is: 6,373,687.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765,912.06 : 4,198,697.44 = 4,198,697.44 : x
  2. Step 2: Convert to fraction form
    2,765,912.06/4,198,697.44 = 4,198,697.44/x
  3. Step 3: Cross multiply
    2,765,912.06x = 4,198,697.44 × 4,198,697.44
  4. Step 4: Simplify right side
    2,765,912.06x = 17,629,060,171,669.07
  5. Step 5: Solve for x
    x = 17,629,060,171,669.07/2,765,912.06
  6. Step 6: Final answer
    x = 6,373,687.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.