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Finding the Third Proportional to 1,384,560 and 2,102,832

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Solution

The third proportional to 1,384,560 and 2,102,832 is: 3,193,723.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384,560 : 2,102,832 = 2,102,832 : x
  2. Step 2: Convert to fraction form
    1,384,560/2,102,832 = 2,102,832/x
  3. Step 3: Cross multiply
    1,384,560x = 2,102,832 × 2,102,832
  4. Step 4: Simplify right side
    1,384,560x = 4,421,902,420,224
  5. Step 5: Solve for x
    x = 4,421,902,420,224/1,384,560
  6. Step 6: Final answer
    x = 3,193,723.94

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.