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Finding the Third Proportional to 539,586 and 1,181,970

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Solution

The third proportional to 539,586 and 1,181,970 is: 2,589,120.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,586 : 1,181,970 = 1,181,970 : x
  2. Step 2: Convert to fraction form
    539,586/1,181,970 = 1,181,970/x
  3. Step 3: Cross multiply
    539,586x = 1,181,970 × 1,181,970
  4. Step 4: Simplify right side
    539,586x = 1,397,053,080,900
  5. Step 5: Solve for x
    x = 1,397,053,080,900/539,586
  6. Step 6: Final answer
    x = 2,589,120.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.