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Finding the Third Proportional to 691,183 and 1,036,775

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Solution

The third proportional to 691,183 and 1,036,775 is: 1,555,163.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,183 : 1,036,775 = 1,036,775 : x
  2. Step 2: Convert to fraction form
    691,183/1,036,775 = 1,036,775/x
  3. Step 3: Cross multiply
    691,183x = 1,036,775 × 1,036,775
  4. Step 4: Simplify right side
    691,183x = 1,074,902,400,625
  5. Step 5: Solve for x
    x = 1,074,902,400,625/691,183
  6. Step 6: Final answer
    x = 1,555,163.25

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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.