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Finding the Third Proportional to 591,144 and 1,270,983

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Solution

The third proportional to 591,144 and 1,270,983 is: 2,732,663.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,144 : 1,270,983 = 1,270,983 : x
  2. Step 2: Convert to fraction form
    591,144/1,270,983 = 1,270,983/x
  3. Step 3: Cross multiply
    591,144x = 1,270,983 × 1,270,983
  4. Step 4: Simplify right side
    591,144x = 1,615,397,786,289
  5. Step 5: Solve for x
    x = 1,615,397,786,289/591,144
  6. Step 6: Final answer
    x = 2,732,663.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.