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Finding the Third Proportional to 1,802,048 and 3,203,448

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Solution

The third proportional to 1,802,048 and 3,203,448 is: 5,694,675.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802,048 : 3,203,448 = 3,203,448 : x
  2. Step 2: Convert to fraction form
    1,802,048/3,203,448 = 3,203,448/x
  3. Step 3: Cross multiply
    1,802,048x = 3,203,448 × 3,203,448
  4. Step 4: Simplify right side
    1,802,048x = 10,262,079,088,704
  5. Step 5: Solve for x
    x = 10,262,079,088,704/1,802,048
  6. Step 6: Final answer
    x = 5,694,675.77

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.