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Finding the Third Proportional to 3,743,924 and 5,350,165

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Solution

The third proportional to 3,743,924 and 5,350,165 is: 7,645,525.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743,924 : 5,350,165 = 5,350,165 : x
  2. Step 2: Convert to fraction form
    3,743,924/5,350,165 = 5,350,165/x
  3. Step 3: Cross multiply
    3,743,924x = 5,350,165 × 5,350,165
  4. Step 4: Simplify right side
    3,743,924x = 28,624,265,527,225
  5. Step 5: Solve for x
    x = 28,624,265,527,225/3,743,924
  6. Step 6: Final answer
    x = 7,645,525.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.