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Finding the Third Proportional to 2,949,589 and 6,309,057

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Solution

The third proportional to 2,949,589 and 6,309,057 is: 13,494,829.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949,589 : 6,309,057 = 6,309,057 : x
  2. Step 2: Convert to fraction form
    2,949,589/6,309,057 = 6,309,057/x
  3. Step 3: Cross multiply
    2,949,589x = 6,309,057 × 6,309,057
  4. Step 4: Simplify right side
    2,949,589x = 39,804,200,229,249
  5. Step 5: Solve for x
    x = 39,804,200,229,249/2,949,589
  6. Step 6: Final answer
    x = 13,494,829.36

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.