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Finding the Third Proportional to 519,543 and 1,079,910

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Solution

The third proportional to 519,543 and 1,079,910 is: 2,244,675.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,543 : 1,079,910 = 1,079,910 : x
  2. Step 2: Convert to fraction form
    519,543/1,079,910 = 1,079,910/x
  3. Step 3: Cross multiply
    519,543x = 1,079,910 × 1,079,910
  4. Step 4: Simplify right side
    519,543x = 1,166,205,608,100
  5. Step 5: Solve for x
    x = 1,166,205,608,100/519,543
  6. Step 6: Final answer
    x = 2,244,675.82

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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.