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Finding the Third Proportional to 770,187.75 and 1,717,464

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Solution

The third proportional to 770,187.75 and 1,717,464 is: 3,829,822.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,187.75 : 1,717,464 = 1,717,464 : x
  2. Step 2: Convert to fraction form
    770,187.75/1,717,464 = 1,717,464/x
  3. Step 3: Cross multiply
    770,187.75x = 1,717,464 × 1,717,464
  4. Step 4: Simplify right side
    770,187.75x = 2,949,682,591,296
  5. Step 5: Solve for x
    x = 2,949,682,591,296/770,187.75
  6. Step 6: Final answer
    x = 3,829,822.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.