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Finding the Third Proportional to 597,690 and 897,183

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Solution

The third proportional to 597,690 and 897,183 is: 1,346,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,690 : 897,183 = 897,183 : x
  2. Step 2: Convert to fraction form
    597,690/897,183 = 897,183/x
  3. Step 3: Cross multiply
    597,690x = 897,183 × 897,183
  4. Step 4: Simplify right side
    597,690x = 804,937,335,489
  5. Step 5: Solve for x
    x = 804,937,335,489/597,690
  6. Step 6: Final answer
    x = 1,346,747.20

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Why These Related Problems?

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