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Finding the Third Proportional to 409,048 and 892,472

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Solution

The third proportional to 409,048 and 892,472 is: 1,947,219.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,048 : 892,472 = 892,472 : x
  2. Step 2: Convert to fraction form
    409,048/892,472 = 892,472/x
  3. Step 3: Cross multiply
    409,048x = 892,472 × 892,472
  4. Step 4: Simplify right side
    409,048x = 796,506,270,784
  5. Step 5: Solve for x
    x = 796,506,270,784/409,048
  6. Step 6: Final answer
    x = 1,947,219.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.