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Finding the Third Proportional to 3,364,584.75 and 5,287,933.13

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Solution

The third proportional to 3,364,584.75 and 5,287,933.13 is: 8,310,754.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364,584.75 : 5,287,933.13 = 5,287,933.13 : x
  2. Step 2: Convert to fraction form
    3,364,584.75/5,287,933.13 = 5,287,933.13/x
  3. Step 3: Cross multiply
    3,364,584.75x = 5,287,933.13 × 5,287,933.13
  4. Step 4: Simplify right side
    3,364,584.75x = 27,962,236,734,472.27
  5. Step 5: Solve for x
    x = 27,962,236,734,472.27/3,364,584.75
  6. Step 6: Final answer
    x = 8,310,754.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.