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Finding the Third Proportional to 409,234 and 894,372

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Solution

The third proportional to 409,234 and 894,372 is: 1,954,630.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,234 : 894,372 = 894,372 : x
  2. Step 2: Convert to fraction form
    409,234/894,372 = 894,372/x
  3. Step 3: Cross multiply
    409,234x = 894,372 × 894,372
  4. Step 4: Simplify right side
    409,234x = 799,901,274,384
  5. Step 5: Solve for x
    x = 799,901,274,384/409,234
  6. Step 6: Final answer
    x = 1,954,630.54

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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.