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Finding the Third Proportional to 383,911 and 897,176

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Solution

The third proportional to 383,911 and 897,176 is: 2,096,644.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,911 : 897,176 = 897,176 : x
  2. Step 2: Convert to fraction form
    383,911/897,176 = 897,176/x
  3. Step 3: Cross multiply
    383,911x = 897,176 × 897,176
  4. Step 4: Simplify right side
    383,911x = 804,924,774,976
  5. Step 5: Solve for x
    x = 804,924,774,976/383,911
  6. Step 6: Final answer
    x = 2,096,644.21

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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.