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Finding the Third Proportional to 622,193 and 1,332,514

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Solution

The third proportional to 622,193 and 1,332,514 is: 2,853,766.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,193 : 1,332,514 = 1,332,514 : x
  2. Step 2: Convert to fraction form
    622,193/1,332,514 = 1,332,514/x
  3. Step 3: Cross multiply
    622,193x = 1,332,514 × 1,332,514
  4. Step 4: Simplify right side
    622,193x = 1,775,593,560,196
  5. Step 5: Solve for x
    x = 1,775,593,560,196/622,193
  6. Step 6: Final answer
    x = 2,853,766.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.