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Finding the Third Proportional to 409,195 and 964,586

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Solution

The third proportional to 409,195 and 964,586 is: 2,273,796.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,195 : 964,586 = 964,586 : x
  2. Step 2: Convert to fraction form
    409,195/964,586 = 964,586/x
  3. Step 3: Cross multiply
    409,195x = 964,586 × 964,586
  4. Step 4: Simplify right side
    409,195x = 930,426,151,396
  5. Step 5: Solve for x
    x = 930,426,151,396/409,195
  6. Step 6: Final answer
    x = 2,273,796.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.