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Finding the Third Proportional to 276,458,694 and 593,945,206

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Solution

The third proportional to 276,458,694 and 593,945,206 is: 1,276,034,776.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,458,694 : 593,945,206 = 593,945,206 : x
  2. Step 2: Convert to fraction form
    276,458,694/593,945,206 = 593,945,206/x
  3. Step 3: Cross multiply
    276,458,694x = 593,945,206 × 593,945,206
  4. Step 4: Simplify right side
    276,458,694x = 352,770,907,730,382,464
  5. Step 5: Solve for x
    x = 352,770,907,730,382,464/276,458,694
  6. Step 6: Final answer
    x = 1,276,034,776.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.