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Finding the Third Proportional to 3,814,240.50 and 5,760,243

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Solution

The third proportional to 3,814,240.50 and 5,760,243 is: 8,699,084.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814,240.50 : 5,760,243 = 5,760,243 : x
  2. Step 2: Convert to fraction form
    3,814,240.50/5,760,243 = 5,760,243/x
  3. Step 3: Cross multiply
    3,814,240.50x = 5,760,243 × 5,760,243
  4. Step 4: Simplify right side
    3,814,240.50x = 33,180,399,419,049
  5. Step 5: Solve for x
    x = 33,180,399,419,049/3,814,240.50
  6. Step 6: Final answer
    x = 8,699,084.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.