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Finding the Third Proportional to 519,419 and 1,134,958

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Solution

The third proportional to 519,419 and 1,134,958 is: 2,479,943.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,419 : 1,134,958 = 1,134,958 : x
  2. Step 2: Convert to fraction form
    519,419/1,134,958 = 1,134,958/x
  3. Step 3: Cross multiply
    519,419x = 1,134,958 × 1,134,958
  4. Step 4: Simplify right side
    519,419x = 1,288,129,661,764
  5. Step 5: Solve for x
    x = 1,288,129,661,764/519,419
  6. Step 6: Final answer
    x = 2,479,943.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.