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Finding the Third Proportional to 519,568 and 1,079,952

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Solution

The third proportional to 519,568 and 1,079,952 is: 2,244,742.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,568 : 1,079,952 = 1,079,952 : x
  2. Step 2: Convert to fraction form
    519,568/1,079,952 = 1,079,952/x
  3. Step 3: Cross multiply
    519,568x = 1,079,952 × 1,079,952
  4. Step 4: Simplify right side
    519,568x = 1,166,296,322,304
  5. Step 5: Solve for x
    x = 1,166,296,322,304/519,568
  6. Step 6: Final answer
    x = 2,244,742.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.