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Finding the Third Proportional to 1,204,872 and 2,509,624

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Solution

The third proportional to 1,204,872 and 2,509,624 is: 5,227,287.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,872 : 2,509,624 = 2,509,624 : x
  2. Step 2: Convert to fraction form
    1,204,872/2,509,624 = 2,509,624/x
  3. Step 3: Cross multiply
    1,204,872x = 2,509,624 × 2,509,624
  4. Step 4: Simplify right side
    1,204,872x = 6,298,212,621,376
  5. Step 5: Solve for x
    x = 6,298,212,621,376/1,204,872
  6. Step 6: Final answer
    x = 5,227,287.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.