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Finding the Third Proportional to 1,376,081 and 2,100,069

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Solution

The third proportional to 1,376,081 and 2,100,069 is: 3,204,963.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376,081 : 2,100,069 = 2,100,069 : x
  2. Step 2: Convert to fraction form
    1,376,081/2,100,069 = 2,100,069/x
  3. Step 3: Cross multiply
    1,376,081x = 2,100,069 × 2,100,069
  4. Step 4: Simplify right side
    1,376,081x = 4,410,289,804,761
  5. Step 5: Solve for x
    x = 4,410,289,804,761/1,376,081
  6. Step 6: Final answer
    x = 3,204,963.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.