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Finding the Third Proportional to 2,412,230 and 5,022,952

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Solution

The third proportional to 2,412,230 and 5,022,952 is: 10,459,221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412,230 : 5,022,952 = 5,022,952 : x
  2. Step 2: Convert to fraction form
    2,412,230/5,022,952 = 5,022,952/x
  3. Step 3: Cross multiply
    2,412,230x = 5,022,952 × 5,022,952
  4. Step 4: Simplify right side
    2,412,230x = 25,230,046,794,304
  5. Step 5: Solve for x
    x = 25,230,046,794,304/2,412,230
  6. Step 6: Final answer
    x = 10,459,221.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.