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Finding the Third Proportional to 1,198,098 and 2,606,136

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Solution

The third proportional to 1,198,098 and 2,606,136 is: 5,668,939.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,098 : 2,606,136 = 2,606,136 : x
  2. Step 2: Convert to fraction form
    1,198,098/2,606,136 = 2,606,136/x
  3. Step 3: Cross multiply
    1,198,098x = 2,606,136 × 2,606,136
  4. Step 4: Simplify right side
    1,198,098x = 6,791,944,850,496
  5. Step 5: Solve for x
    x = 6,791,944,850,496/1,198,098
  6. Step 6: Final answer
    x = 5,668,939.31

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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.