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Finding the Third Proportional to 1,135,977 and 2,431,560

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Solution

The third proportional to 1,135,977 and 2,431,560 is: 5,204,756.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135,977 : 2,431,560 = 2,431,560 : x
  2. Step 2: Convert to fraction form
    1,135,977/2,431,560 = 2,431,560/x
  3. Step 3: Cross multiply
    1,135,977x = 2,431,560 × 2,431,560
  4. Step 4: Simplify right side
    1,135,977x = 5,912,484,033,600
  5. Step 5: Solve for x
    x = 5,912,484,033,600/1,135,977
  6. Step 6: Final answer
    x = 5,204,756.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.