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Finding the Third Proportional to 2,414,969 and 5,028,352

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Solution

The third proportional to 2,414,969 and 5,028,352 is: 10,469,833.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414,969 : 5,028,352 = 5,028,352 : x
  2. Step 2: Convert to fraction form
    2,414,969/5,028,352 = 5,028,352/x
  3. Step 3: Cross multiply
    2,414,969x = 5,028,352 × 5,028,352
  4. Step 4: Simplify right side
    2,414,969x = 25,284,323,835,904
  5. Step 5: Solve for x
    x = 25,284,323,835,904/2,414,969
  6. Step 6: Final answer
    x = 10,469,833.71

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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.