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Finding the Third Proportional to 383,908 and 897,169

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Solution

The third proportional to 383,908 and 897,169 is: 2,096,627.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,908 : 897,169 = 897,169 : x
  2. Step 2: Convert to fraction form
    383,908/897,169 = 897,169/x
  3. Step 3: Cross multiply
    383,908x = 897,169 × 897,169
  4. Step 4: Simplify right side
    383,908x = 804,912,214,561
  5. Step 5: Solve for x
    x = 804,912,214,561/383,908
  6. Step 6: Final answer
    x = 2,096,627.88

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.