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Finding the Third Proportional to 412,296 and 875,136

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Solution

The third proportional to 412,296 and 875,136 is: 1,857,556.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,296 : 875,136 = 875,136 : x
  2. Step 2: Convert to fraction form
    412,296/875,136 = 875,136/x
  3. Step 3: Cross multiply
    412,296x = 875,136 × 875,136
  4. Step 4: Simplify right side
    412,296x = 765,863,018,496
  5. Step 5: Solve for x
    x = 765,863,018,496/412,296
  6. Step 6: Final answer
    x = 1,857,556.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.