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Finding the Third Proportional to 748,741,739 and 1,601,344,819

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Solution

The third proportional to 748,741,739 and 1,601,344,819 is: 3,424,819,394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,741,739 : 1,601,344,819 = 1,601,344,819 : x
  2. Step 2: Convert to fraction form
    748,741,739/1,601,344,819 = 1,601,344,819/x
  3. Step 3: Cross multiply
    748,741,739x = 1,601,344,819 × 1,601,344,819
  4. Step 4: Simplify right side
    748,741,739x = 2,564,305,229,338,142,720
  5. Step 5: Solve for x
    x = 2,564,305,229,338,142,720/748,741,739
  6. Step 6: Final answer
    x = 3,424,819,394.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.