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Finding the Third Proportional to 2,534,879 and 5,636,509

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Solution

The third proportional to 2,534,879 and 5,636,509 is: 12,533,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534,879 : 5,636,509 = 5,636,509 : x
  2. Step 2: Convert to fraction form
    2,534,879/5,636,509 = 5,636,509/x
  3. Step 3: Cross multiply
    2,534,879x = 5,636,509 × 5,636,509
  4. Step 4: Simplify right side
    2,534,879x = 31,770,233,707,081
  5. Step 5: Solve for x
    x = 31,770,233,707,081/2,534,879
  6. Step 6: Final answer
    x = 12,533,234.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.