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Finding the Third Proportional to 409,001 and 874,865

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Solution

The third proportional to 409,001 and 874,865 is: 1,871,361.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,001 : 874,865 = 874,865 : x
  2. Step 2: Convert to fraction form
    409,001/874,865 = 874,865/x
  3. Step 3: Cross multiply
    409,001x = 874,865 × 874,865
  4. Step 4: Simplify right side
    409,001x = 765,388,768,225
  5. Step 5: Solve for x
    x = 765,388,768,225/409,001
  6. Step 6: Final answer
    x = 1,871,361.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.