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Finding the Third Proportional to 3,052,584 and 6,629,616

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Solution

The third proportional to 3,052,584 and 6,629,616 is: 14,398,230.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052,584 : 6,629,616 = 6,629,616 : x
  2. Step 2: Convert to fraction form
    3,052,584/6,629,616 = 6,629,616/x
  3. Step 3: Cross multiply
    3,052,584x = 6,629,616 × 6,629,616
  4. Step 4: Simplify right side
    3,052,584x = 43,951,808,307,456
  5. Step 5: Solve for x
    x = 43,951,808,307,456/3,052,584
  6. Step 6: Final answer
    x = 14,398,230.58

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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.