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Finding the Third Proportional to 409,738 and 894,192

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Solution

The third proportional to 409,738 and 894,192 is: 1,951,440.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,738 : 894,192 = 894,192 : x
  2. Step 2: Convert to fraction form
    409,738/894,192 = 894,192/x
  3. Step 3: Cross multiply
    409,738x = 894,192 × 894,192
  4. Step 4: Simplify right side
    409,738x = 799,579,332,864
  5. Step 5: Solve for x
    x = 799,579,332,864/409,738
  6. Step 6: Final answer
    x = 1,951,440.51

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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.