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Finding the Third Proportional to 539,686 and 1,161,012

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Solution

The third proportional to 539,686 and 1,161,012 is: 2,497,653.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,686 : 1,161,012 = 1,161,012 : x
  2. Step 2: Convert to fraction form
    539,686/1,161,012 = 1,161,012/x
  3. Step 3: Cross multiply
    539,686x = 1,161,012 × 1,161,012
  4. Step 4: Simplify right side
    539,686x = 1,347,948,864,144
  5. Step 5: Solve for x
    x = 1,347,948,864,144/539,686
  6. Step 6: Final answer
    x = 2,497,653.94

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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.