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Finding the Third Proportional to 1,813,824 and 3,959,199

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Solution

The third proportional to 1,813,824 and 3,959,199 is: 8,642,104.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813,824 : 3,959,199 = 3,959,199 : x
  2. Step 2: Convert to fraction form
    1,813,824/3,959,199 = 3,959,199/x
  3. Step 3: Cross multiply
    1,813,824x = 3,959,199 × 3,959,199
  4. Step 4: Simplify right side
    1,813,824x = 15,675,256,721,601
  5. Step 5: Solve for x
    x = 15,675,256,721,601/1,813,824
  6. Step 6: Final answer
    x = 8,642,104.59

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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.