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Finding the Third Proportional to 414,535,940 and 886,467,504

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Solution

The third proportional to 414,535,940 and 886,467,504 is: 1,895,673,112.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,535,940 : 886,467,504 = 886,467,504 : x
  2. Step 2: Convert to fraction form
    414,535,940/886,467,504 = 886,467,504/x
  3. Step 3: Cross multiply
    414,535,940x = 886,467,504 × 886,467,504
  4. Step 4: Simplify right side
    414,535,940x = 785,824,635,647,990,016
  5. Step 5: Solve for x
    x = 785,824,635,647,990,016/414,535,940
  6. Step 6: Final answer
    x = 1,895,673,112.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.