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Finding the Third Proportional to 539,789 and 1,162,617

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Solution

The third proportional to 539,789 and 1,162,617 is: 2,504,086.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,789 : 1,162,617 = 1,162,617 : x
  2. Step 2: Convert to fraction form
    539,789/1,162,617 = 1,162,617/x
  3. Step 3: Cross multiply
    539,789x = 1,162,617 × 1,162,617
  4. Step 4: Simplify right side
    539,789x = 1,351,678,288,689
  5. Step 5: Solve for x
    x = 1,351,678,288,689/539,789
  6. Step 6: Final answer
    x = 2,504,086.39

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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.