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Finding the Third Proportional to 539,589 and 1,165,632

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Solution

The third proportional to 539,589 and 1,165,632 is: 2,518,023.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,589 : 1,165,632 = 1,165,632 : x
  2. Step 2: Convert to fraction form
    539,589/1,165,632 = 1,165,632/x
  3. Step 3: Cross multiply
    539,589x = 1,165,632 × 1,165,632
  4. Step 4: Simplify right side
    539,589x = 1,358,697,959,424
  5. Step 5: Solve for x
    x = 1,358,697,959,424/539,589
  6. Step 6: Final answer
    x = 2,518,023.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.