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Finding the Third Proportional to 605,923 and 897,167

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Solution

The third proportional to 605,923 and 897,167 is: 1,328,400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,923 : 897,167 = 897,167 : x
  2. Step 2: Convert to fraction form
    605,923/897,167 = 897,167/x
  3. Step 3: Cross multiply
    605,923x = 897,167 × 897,167
  4. Step 4: Simplify right side
    605,923x = 804,908,625,889
  5. Step 5: Solve for x
    x = 804,908,625,889/605,923
  6. Step 6: Final answer
    x = 1,328,400.85

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.