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Finding the Third Proportional to 981,864 and 2,141,136

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Solution

The third proportional to 981,864 and 2,141,136 is: 4,669,142.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,864 : 2,141,136 = 2,141,136 : x
  2. Step 2: Convert to fraction form
    981,864/2,141,136 = 2,141,136/x
  3. Step 3: Cross multiply
    981,864x = 2,141,136 × 2,141,136
  4. Step 4: Simplify right side
    981,864x = 4,584,463,370,496
  5. Step 5: Solve for x
    x = 4,584,463,370,496/981,864
  6. Step 6: Final answer
    x = 4,669,142.95

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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.