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Finding the Third Proportional to 770,541 and 1,227,163.50

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Solution

The third proportional to 770,541 and 1,227,163.50 is: 1,954,380.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,541 : 1,227,163.50 = 1,227,163.50 : x
  2. Step 2: Convert to fraction form
    770,541/1,227,163.50 = 1,227,163.50/x
  3. Step 3: Cross multiply
    770,541x = 1,227,163.50 × 1,227,163.50
  4. Step 4: Simplify right side
    770,541x = 1,505,930,255,732.25
  5. Step 5: Solve for x
    x = 1,505,930,255,732.25/770,541
  6. Step 6: Final answer
    x = 1,954,380.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.