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Finding the Third Proportional to 2,085,796 and 5,023,144

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Solution

The third proportional to 2,085,796 and 5,023,144 is: 12,097,048.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085,796 : 5,023,144 = 5,023,144 : x
  2. Step 2: Convert to fraction form
    2,085,796/5,023,144 = 5,023,144/x
  3. Step 3: Cross multiply
    2,085,796x = 5,023,144 × 5,023,144
  4. Step 4: Simplify right side
    2,085,796x = 25,231,975,644,736
  5. Step 5: Solve for x
    x = 25,231,975,644,736/2,085,796
  6. Step 6: Final answer
    x = 12,097,048.63

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.