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Finding the Third Proportional to 2,321,842 and 3,517,809

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Solution

The third proportional to 2,321,842 and 3,517,809 is: 5,329,811.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321,842 : 3,517,809 = 3,517,809 : x
  2. Step 2: Convert to fraction form
    2,321,842/3,517,809 = 3,517,809/x
  3. Step 3: Cross multiply
    2,321,842x = 3,517,809 × 3,517,809
  4. Step 4: Simplify right side
    2,321,842x = 12,374,980,160,481
  5. Step 5: Solve for x
    x = 12,374,980,160,481/2,321,842
  6. Step 6: Final answer
    x = 5,329,811.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.