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Finding the Third Proportional to 1,776,132.56 and 3,737,942.44

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Solution

The third proportional to 1,776,132.56 and 3,737,942.44 is: 7,866,650.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776,132.56 : 3,737,942.44 = 3,737,942.44 : x
  2. Step 2: Convert to fraction form
    1,776,132.56/3,737,942.44 = 3,737,942.44/x
  3. Step 3: Cross multiply
    1,776,132.56x = 3,737,942.44 × 3,737,942.44
  4. Step 4: Simplify right side
    1,776,132.56x = 13,972,213,666,063.44
  5. Step 5: Solve for x
    x = 13,972,213,666,063.44/1,776,132.56
  6. Step 6: Final answer
    x = 7,866,650.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.