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Finding the Third Proportional to 3,084,837 and 6,684,508

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Solution

The third proportional to 3,084,837 and 6,684,508 is: 14,484,605.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084,837 : 6,684,508 = 6,684,508 : x
  2. Step 2: Convert to fraction form
    3,084,837/6,684,508 = 6,684,508/x
  3. Step 3: Cross multiply
    3,084,837x = 6,684,508 × 6,684,508
  4. Step 4: Simplify right side
    3,084,837x = 44,682,647,202,064
  5. Step 5: Solve for x
    x = 44,682,647,202,064/3,084,837
  6. Step 6: Final answer
    x = 14,484,605.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.