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Finding the Third Proportional to 465,831 and 1,019,871

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Solution

The third proportional to 465,831 and 1,019,871 is: 2,232,863.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,831 : 1,019,871 = 1,019,871 : x
  2. Step 2: Convert to fraction form
    465,831/1,019,871 = 1,019,871/x
  3. Step 3: Cross multiply
    465,831x = 1,019,871 × 1,019,871
  4. Step 4: Simplify right side
    465,831x = 1,040,136,856,641
  5. Step 5: Solve for x
    x = 1,040,136,856,641/465,831
  6. Step 6: Final answer
    x = 2,232,863.11

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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.