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Finding the Third Proportional to 2,356,458 and 5,084,907

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Solution

The third proportional to 2,356,458 and 5,084,907 is: 10,972,518.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356,458 : 5,084,907 = 5,084,907 : x
  2. Step 2: Convert to fraction form
    2,356,458/5,084,907 = 5,084,907/x
  3. Step 3: Cross multiply
    2,356,458x = 5,084,907 × 5,084,907
  4. Step 4: Simplify right side
    2,356,458x = 25,856,279,198,649
  5. Step 5: Solve for x
    x = 25,856,279,198,649/2,356,458
  6. Step 6: Final answer
    x = 10,972,518.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.