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Finding the Third Proportional to 2,449,144 and 5,189,648

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Solution

The third proportional to 2,449,144 and 5,189,648 is: 10,996,677.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449,144 : 5,189,648 = 5,189,648 : x
  2. Step 2: Convert to fraction form
    2,449,144/5,189,648 = 5,189,648/x
  3. Step 3: Cross multiply
    2,449,144x = 5,189,648 × 5,189,648
  4. Step 4: Simplify right side
    2,449,144x = 26,932,446,363,904
  5. Step 5: Solve for x
    x = 26,932,446,363,904/2,449,144
  6. Step 6: Final answer
    x = 10,996,677.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.