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Finding the Third Proportional to 519,291 and 1,079,860

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Solution

The third proportional to 519,291 and 1,079,860 is: 2,245,557.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,291 : 1,079,860 = 1,079,860 : x
  2. Step 2: Convert to fraction form
    519,291/1,079,860 = 1,079,860/x
  3. Step 3: Cross multiply
    519,291x = 1,079,860 × 1,079,860
  4. Step 4: Simplify right side
    519,291x = 1,166,097,619,600
  5. Step 5: Solve for x
    x = 1,166,097,619,600/519,291
  6. Step 6: Final answer
    x = 2,245,557.15

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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.