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Finding the Third Proportional to 1,025,766 and 2,232,136

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Solution

The third proportional to 1,025,766 and 2,232,136 is: 4,857,278.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,766 : 2,232,136 = 2,232,136 : x
  2. Step 2: Convert to fraction form
    1,025,766/2,232,136 = 2,232,136/x
  3. Step 3: Cross multiply
    1,025,766x = 2,232,136 × 2,232,136
  4. Step 4: Simplify right side
    1,025,766x = 4,982,431,122,496
  5. Step 5: Solve for x
    x = 4,982,431,122,496/1,025,766
  6. Step 6: Final answer
    x = 4,857,278.49

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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.