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Finding the Third Proportional to 408,981 and 837,794

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Solution

The third proportional to 408,981 and 837,794 is: 1,716,213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,981 : 837,794 = 837,794 : x
  2. Step 2: Convert to fraction form
    408,981/837,794 = 837,794/x
  3. Step 3: Cross multiply
    408,981x = 837,794 × 837,794
  4. Step 4: Simplify right side
    408,981x = 701,898,786,436
  5. Step 5: Solve for x
    x = 701,898,786,436/408,981
  6. Step 6: Final answer
    x = 1,716,213.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.