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Finding the Third Proportional to 409,256 and 894,416

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Solution

The third proportional to 409,256 and 894,416 is: 1,954,717.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,256 : 894,416 = 894,416 : x
  2. Step 2: Convert to fraction form
    409,256/894,416 = 894,416/x
  3. Step 3: Cross multiply
    409,256x = 894,416 × 894,416
  4. Step 4: Simplify right side
    409,256x = 799,979,981,056
  5. Step 5: Solve for x
    x = 799,979,981,056/409,256
  6. Step 6: Final answer
    x = 1,954,717.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.