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Finding the Third Proportional to 731,619 and 1,542,942

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Solution

The third proportional to 731,619 and 1,542,942 is: 3,253,975.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,619 : 1,542,942 = 1,542,942 : x
  2. Step 2: Convert to fraction form
    731,619/1,542,942 = 1,542,942/x
  3. Step 3: Cross multiply
    731,619x = 1,542,942 × 1,542,942
  4. Step 4: Simplify right side
    731,619x = 2,380,670,015,364
  5. Step 5: Solve for x
    x = 2,380,670,015,364/731,619
  6. Step 6: Final answer
    x = 3,253,975.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.