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Finding the Third Proportional to 384,022 and 897,165

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Solution

The third proportional to 384,022 and 897,165 is: 2,095,986.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,022 : 897,165 = 897,165 : x
  2. Step 2: Convert to fraction form
    384,022/897,165 = 897,165/x
  3. Step 3: Cross multiply
    384,022x = 897,165 × 897,165
  4. Step 4: Simplify right side
    384,022x = 804,905,037,225
  5. Step 5: Solve for x
    x = 804,905,037,225/384,022
  6. Step 6: Final answer
    x = 2,095,986.79

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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.