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Finding the Third Proportional to 3,282,901 and 5,244,509

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Solution

The third proportional to 3,282,901 and 5,244,509 is: 8,378,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282,901 : 5,244,509 = 5,244,509 : x
  2. Step 2: Convert to fraction form
    3,282,901/5,244,509 = 5,244,509/x
  3. Step 3: Cross multiply
    3,282,901x = 5,244,509 × 5,244,509
  4. Step 4: Simplify right side
    3,282,901x = 27,504,874,651,081
  5. Step 5: Solve for x
    x = 27,504,874,651,081/3,282,901
  6. Step 6: Final answer
    x = 8,378,222.39

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.