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Finding the Third Proportional to 519,290 and 1,079,858

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Solution

The third proportional to 519,290 and 1,079,858 is: 2,245,553.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,290 : 1,079,858 = 1,079,858 : x
  2. Step 2: Convert to fraction form
    519,290/1,079,858 = 1,079,858/x
  3. Step 3: Cross multiply
    519,290x = 1,079,858 × 1,079,858
  4. Step 4: Simplify right side
    519,290x = 1,166,093,300,164
  5. Step 5: Solve for x
    x = 1,166,093,300,164/519,290
  6. Step 6: Final answer
    x = 2,245,553.16

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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.