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Finding the Third Proportional to 519,287 and 1,079,853

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Solution

The third proportional to 519,287 and 1,079,853 is: 2,245,545.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,287 : 1,079,853 = 1,079,853 : x
  2. Step 2: Convert to fraction form
    519,287/1,079,853 = 1,079,853/x
  3. Step 3: Cross multiply
    519,287x = 1,079,853 × 1,079,853
  4. Step 4: Simplify right side
    519,287x = 1,166,082,501,609
  5. Step 5: Solve for x
    x = 1,166,082,501,609/519,287
  6. Step 6: Final answer
    x = 2,245,545.34

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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.