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Finding the Third Proportional to 1,198,296 and 2,608,200

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Solution

The third proportional to 1,198,296 and 2,608,200 is: 5,676,984.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,296 : 2,608,200 = 2,608,200 : x
  2. Step 2: Convert to fraction form
    1,198,296/2,608,200 = 2,608,200/x
  3. Step 3: Cross multiply
    1,198,296x = 2,608,200 × 2,608,200
  4. Step 4: Simplify right side
    1,198,296x = 6,802,707,240,000
  5. Step 5: Solve for x
    x = 6,802,707,240,000/1,198,296
  6. Step 6: Final answer
    x = 5,676,984.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.