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Finding the Third Proportional to 409,006 and 874,872

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Solution

The third proportional to 409,006 and 874,872 is: 1,871,368.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,006 : 874,872 = 874,872 : x
  2. Step 2: Convert to fraction form
    409,006/874,872 = 874,872/x
  3. Step 3: Cross multiply
    409,006x = 874,872 × 874,872
  4. Step 4: Simplify right side
    409,006x = 765,401,016,384
  5. Step 5: Solve for x
    x = 765,401,016,384/409,006
  6. Step 6: Final answer
    x = 1,871,368.68

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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.