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Finding the Third Proportional to 773,731 and 1,183,493

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Solution

The third proportional to 773,731 and 1,183,493 is: 1,810,261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,731 : 1,183,493 = 1,183,493 : x
  2. Step 2: Convert to fraction form
    773,731/1,183,493 = 1,183,493/x
  3. Step 3: Cross multiply
    773,731x = 1,183,493 × 1,183,493
  4. Step 4: Simplify right side
    773,731x = 1,400,655,681,049
  5. Step 5: Solve for x
    x = 1,400,655,681,049/773,731
  6. Step 6: Final answer
    x = 1,810,261.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.