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Finding the Third Proportional to 409,586 and 897,903

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Solution

The third proportional to 409,586 and 897,903 is: 1,968,401.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,586 : 897,903 = 897,903 : x
  2. Step 2: Convert to fraction form
    409,586/897,903 = 897,903/x
  3. Step 3: Cross multiply
    409,586x = 897,903 × 897,903
  4. Step 4: Simplify right side
    409,586x = 806,229,797,409
  5. Step 5: Solve for x
    x = 806,229,797,409/409,586
  6. Step 6: Final answer
    x = 1,968,401.75

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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.