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Finding the Third Proportional to 1,198,282 and 2,608,164

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Solution

The third proportional to 1,198,282 and 2,608,164 is: 5,676,893.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,282 : 2,608,164 = 2,608,164 : x
  2. Step 2: Convert to fraction form
    1,198,282/2,608,164 = 2,608,164/x
  3. Step 3: Cross multiply
    1,198,282x = 2,608,164 × 2,608,164
  4. Step 4: Simplify right side
    1,198,282x = 6,802,519,450,896
  5. Step 5: Solve for x
    x = 6,802,519,450,896/1,198,282
  6. Step 6: Final answer
    x = 5,676,893.63

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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.