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Finding the Third Proportional to 1,200,108 and 2,560,920

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Solution

The third proportional to 1,200,108 and 2,560,920 is: 5,464,767.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,108 : 2,560,920 = 2,560,920 : x
  2. Step 2: Convert to fraction form
    1,200,108/2,560,920 = 2,560,920/x
  3. Step 3: Cross multiply
    1,200,108x = 2,560,920 × 2,560,920
  4. Step 4: Simplify right side
    1,200,108x = 6,558,311,246,400
  5. Step 5: Solve for x
    x = 6,558,311,246,400/1,200,108
  6. Step 6: Final answer
    x = 5,464,767.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.