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Finding the Third Proportional to 3,231,596.25 and 4,914,543.38

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Solution

The third proportional to 3,231,596.25 and 4,914,543.38 is: 7,473,933.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231,596.25 : 4,914,543.38 = 4,914,543.38 : x
  2. Step 2: Convert to fraction form
    3,231,596.25/4,914,543.38 = 4,914,543.38/x
  3. Step 3: Cross multiply
    3,231,596.25x = 4,914,543.38 × 4,914,543.38
  4. Step 4: Simplify right side
    3,231,596.25x = 24,152,736,584,756.39
  5. Step 5: Solve for x
    x = 24,152,736,584,756.39/3,231,596.25
  6. Step 6: Final answer
    x = 7,473,933.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.