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Finding the Third Proportional to 400,189,194 and 867,171,393

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Solution

The third proportional to 400,189,194 and 867,171,393 is: 1,879,076,786.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,189,194 : 867,171,393 = 867,171,393 : x
  2. Step 2: Convert to fraction form
    400,189,194/867,171,393 = 867,171,393/x
  3. Step 3: Cross multiply
    400,189,194x = 867,171,393 × 867,171,393
  4. Step 4: Simplify right side
    400,189,194x = 751,986,224,837,560,448
  5. Step 5: Solve for x
    x = 751,986,224,837,560,448/400,189,194
  6. Step 6: Final answer
    x = 1,879,076,786.96

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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.