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Finding the Third Proportional to 1,161,920 and 1,760,268

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Solution

The third proportional to 1,161,920 and 1,760,268 is: 2,666,744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161,920 : 1,760,268 = 1,760,268 : x
  2. Step 2: Convert to fraction form
    1,161,920/1,760,268 = 1,760,268/x
  3. Step 3: Cross multiply
    1,161,920x = 1,760,268 × 1,760,268
  4. Step 4: Simplify right side
    1,161,920x = 3,098,543,431,824
  5. Step 5: Solve for x
    x = 3,098,543,431,824/1,161,920
  6. Step 6: Final answer
    x = 2,666,744.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.