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Finding the Third Proportional to 409,665 and 894,372

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Solution

The third proportional to 409,665 and 894,372 is: 1,952,574.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,665 : 894,372 = 894,372 : x
  2. Step 2: Convert to fraction form
    409,665/894,372 = 894,372/x
  3. Step 3: Cross multiply
    409,665x = 894,372 × 894,372
  4. Step 4: Simplify right side
    409,665x = 799,901,274,384
  5. Step 5: Solve for x
    x = 799,901,274,384/409,665
  6. Step 6: Final answer
    x = 1,952,574.11

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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.