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Finding the Third Proportional to 754,800 and 1,212,019

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Solution

The third proportional to 754,800 and 1,212,019 is: 1,946,197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,800 : 1,212,019 = 1,212,019 : x
  2. Step 2: Convert to fraction form
    754,800/1,212,019 = 1,212,019/x
  3. Step 3: Cross multiply
    754,800x = 1,212,019 × 1,212,019
  4. Step 4: Simplify right side
    754,800x = 1,468,990,056,361
  5. Step 5: Solve for x
    x = 1,468,990,056,361/754,800
  6. Step 6: Final answer
    x = 1,946,197.74

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.