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Finding the Third Proportional to 2,399,384 and 3,815,832

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Solution

The third proportional to 2,399,384 and 3,815,832 is: 6,068,463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399,384 : 3,815,832 = 3,815,832 : x
  2. Step 2: Convert to fraction form
    2,399,384/3,815,832 = 3,815,832/x
  3. Step 3: Cross multiply
    2,399,384x = 3,815,832 × 3,815,832
  4. Step 4: Simplify right side
    2,399,384x = 14,560,573,852,224
  5. Step 5: Solve for x
    x = 14,560,573,852,224/2,399,384
  6. Step 6: Final answer
    x = 6,068,463.34

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.