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Finding the Third Proportional to 516,158 and 1,079,620

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Solution

The third proportional to 516,158 and 1,079,620 is: 2,258,183.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,158 : 1,079,620 = 1,079,620 : x
  2. Step 2: Convert to fraction form
    516,158/1,079,620 = 1,079,620/x
  3. Step 3: Cross multiply
    516,158x = 1,079,620 × 1,079,620
  4. Step 4: Simplify right side
    516,158x = 1,165,579,344,400
  5. Step 5: Solve for x
    x = 1,165,579,344,400/516,158
  6. Step 6: Final answer
    x = 2,258,183.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.