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Finding the Third Proportional to 1,631,016 and 3,410,748

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Solution

The third proportional to 1,631,016 and 3,410,748 is: 7,132,487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631,016 : 3,410,748 = 3,410,748 : x
  2. Step 2: Convert to fraction form
    1,631,016/3,410,748 = 3,410,748/x
  3. Step 3: Cross multiply
    1,631,016x = 3,410,748 × 3,410,748
  4. Step 4: Simplify right side
    1,631,016x = 11,633,201,919,504
  5. Step 5: Solve for x
    x = 11,633,201,919,504/1,631,016
  6. Step 6: Final answer
    x = 7,132,487.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.