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Finding the Third Proportional to 417,190 and 897,257

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Solution

The third proportional to 417,190 and 897,257 is: 1,929,744.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,190 : 897,257 = 897,257 : x
  2. Step 2: Convert to fraction form
    417,190/897,257 = 897,257/x
  3. Step 3: Cross multiply
    417,190x = 897,257 × 897,257
  4. Step 4: Simplify right side
    417,190x = 805,070,124,049
  5. Step 5: Solve for x
    x = 805,070,124,049/417,190
  6. Step 6: Final answer
    x = 1,929,744.54

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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.