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Finding the Third Proportional to 1,102,912 and 1,769,544

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Solution

The third proportional to 1,102,912 and 1,769,544 is: 2,839,107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,912 : 1,769,544 = 1,769,544 : x
  2. Step 2: Convert to fraction form
    1,102,912/1,769,544 = 1,769,544/x
  3. Step 3: Cross multiply
    1,102,912x = 1,769,544 × 1,769,544
  4. Step 4: Simplify right side
    1,102,912x = 3,131,285,967,936
  5. Step 5: Solve for x
    x = 3,131,285,967,936/1,102,912
  6. Step 6: Final answer
    x = 2,839,107.71

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.