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Finding the Third Proportional to 409,586 and 897,906

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Solution

The third proportional to 409,586 and 897,906 is: 1,968,414.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,586 : 897,906 = 897,906 : x
  2. Step 2: Convert to fraction form
    409,586/897,906 = 897,906/x
  3. Step 3: Cross multiply
    409,586x = 897,906 × 897,906
  4. Step 4: Simplify right side
    409,586x = 806,235,184,836
  5. Step 5: Solve for x
    x = 806,235,184,836/409,586
  6. Step 6: Final answer
    x = 1,968,414.90

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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.