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Finding the Third Proportional to 641,682 and 897,165

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Solution

The third proportional to 641,682 and 897,165 is: 1,254,367.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,682 : 897,165 = 897,165 : x
  2. Step 2: Convert to fraction form
    641,682/897,165 = 897,165/x
  3. Step 3: Cross multiply
    641,682x = 897,165 × 897,165
  4. Step 4: Simplify right side
    641,682x = 804,905,037,225
  5. Step 5: Solve for x
    x = 804,905,037,225/641,682
  6. Step 6: Final answer
    x = 1,254,367.49

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.