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Finding the Third Proportional to 1,738,747.69 and 3,776,893.31

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Solution

The third proportional to 1,738,747.69 and 3,776,893.31 is: 8,204,136.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738,747.69 : 3,776,893.31 = 3,776,893.31 : x
  2. Step 2: Convert to fraction form
    1,738,747.69/3,776,893.31 = 3,776,893.31/x
  3. Step 3: Cross multiply
    1,738,747.69x = 3,776,893.31 × 3,776,893.31
  4. Step 4: Simplify right side
    1,738,747.69x = 14,264,923,094,007.22
  5. Step 5: Solve for x
    x = 14,264,923,094,007.22/1,738,747.69
  6. Step 6: Final answer
    x = 8,204,136.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.