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Finding the Third Proportional to 412,560 and 892,476

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Solution

The third proportional to 412,560 and 892,476 is: 1,930,660.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,560 : 892,476 = 892,476 : x
  2. Step 2: Convert to fraction form
    412,560/892,476 = 892,476/x
  3. Step 3: Cross multiply
    412,560x = 892,476 × 892,476
  4. Step 4: Simplify right side
    412,560x = 796,513,410,576
  5. Step 5: Solve for x
    x = 796,513,410,576/412,560
  6. Step 6: Final answer
    x = 1,930,660.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.