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Finding the Third Proportional to 2,754,276 and 5,965,932

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Solution

The third proportional to 2,754,276 and 5,965,932 is: 12,922,577.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754,276 : 5,965,932 = 5,965,932 : x
  2. Step 2: Convert to fraction form
    2,754,276/5,965,932 = 5,965,932/x
  3. Step 3: Cross multiply
    2,754,276x = 5,965,932 × 5,965,932
  4. Step 4: Simplify right side
    2,754,276x = 35,592,344,628,624
  5. Step 5: Solve for x
    x = 35,592,344,628,624/2,754,276
  6. Step 6: Final answer
    x = 12,922,577.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.