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Finding the Third Proportional to 597,692 and 897,186

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Solution

The third proportional to 597,692 and 897,186 is: 1,346,751.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,692 : 897,186 = 897,186 : x
  2. Step 2: Convert to fraction form
    597,692/897,186 = 897,186/x
  3. Step 3: Cross multiply
    597,692x = 897,186 × 897,186
  4. Step 4: Simplify right side
    597,692x = 804,942,718,596
  5. Step 5: Solve for x
    x = 804,942,718,596/597,692
  6. Step 6: Final answer
    x = 1,346,751.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.