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Finding the Third Proportional to 417,198 and 897,274

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Solution

The third proportional to 417,198 and 897,274 is: 1,929,780.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,198 : 897,274 = 897,274 : x
  2. Step 2: Convert to fraction form
    417,198/897,274 = 897,274/x
  3. Step 3: Cross multiply
    417,198x = 897,274 × 897,274
  4. Step 4: Simplify right side
    417,198x = 805,100,631,076
  5. Step 5: Solve for x
    x = 805,100,631,076/417,198
  6. Step 6: Final answer
    x = 1,929,780.66

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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.