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Finding the Third Proportional to 3,489,016 and 7,400,780

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Solution

The third proportional to 3,489,016 and 7,400,780 is: 15,698,278.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489,016 : 7,400,780 = 7,400,780 : x
  2. Step 2: Convert to fraction form
    3,489,016/7,400,780 = 7,400,780/x
  3. Step 3: Cross multiply
    3,489,016x = 7,400,780 × 7,400,780
  4. Step 4: Simplify right side
    3,489,016x = 54,771,544,608,400
  5. Step 5: Solve for x
    x = 54,771,544,608,400/3,489,016
  6. Step 6: Final answer
    x = 15,698,278.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.