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Finding the Third Proportional to 2,474,074 and 5,272,148

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Solution

The third proportional to 2,474,074 and 5,272,148 is: 11,234,726.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474,074 : 5,272,148 = 5,272,148 : x
  2. Step 2: Convert to fraction form
    2,474,074/5,272,148 = 5,272,148/x
  3. Step 3: Cross multiply
    2,474,074x = 5,272,148 × 5,272,148
  4. Step 4: Simplify right side
    2,474,074x = 27,795,544,533,904
  5. Step 5: Solve for x
    x = 27,795,544,533,904/2,474,074
  6. Step 6: Final answer
    x = 11,234,726.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.