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Finding the Third Proportional to 3,726,244.69 and 5,608,023.19

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Solution

The third proportional to 3,726,244.69 and 5,608,023.19 is: 8,440,112.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726,244.69 : 5,608,023.19 = 5,608,023.19 : x
  2. Step 2: Convert to fraction form
    3,726,244.69/5,608,023.19 = 5,608,023.19/x
  3. Step 3: Cross multiply
    3,726,244.69x = 5,608,023.19 × 5,608,023.19
  4. Step 4: Simplify right side
    3,726,244.69x = 31,449,924,071,537.66
  5. Step 5: Solve for x
    x = 31,449,924,071,537.66/3,726,244.69
  6. Step 6: Final answer
    x = 8,440,112.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.