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Finding the Third Proportional to 409,032 and 874,917

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Solution

The third proportional to 409,032 and 874,917 is: 1,871,442.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,032 : 874,917 = 874,917 : x
  2. Step 2: Convert to fraction form
    409,032/874,917 = 874,917/x
  3. Step 3: Cross multiply
    409,032x = 874,917 × 874,917
  4. Step 4: Simplify right side
    409,032x = 765,479,756,889
  5. Step 5: Solve for x
    x = 765,479,756,889/409,032
  6. Step 6: Final answer
    x = 1,871,442.23

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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.