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Finding the Third Proportional to 427,696 and 918,571

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Solution

The third proportional to 427,696 and 918,571 is: 1,972,832.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,696 : 918,571 = 918,571 : x
  2. Step 2: Convert to fraction form
    427,696/918,571 = 918,571/x
  3. Step 3: Cross multiply
    427,696x = 918,571 × 918,571
  4. Step 4: Simplify right side
    427,696x = 843,772,682,041
  5. Step 5: Solve for x
    x = 843,772,682,041/427,696
  6. Step 6: Final answer
    x = 1,972,832.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.