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Finding the Third Proportional to 3,611,845.69 and 5,288,188.78

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Solution

The third proportional to 3,611,845.69 and 5,288,188.78 is: 7,742,562.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,611,845.69 : 5,288,188.78 = 5,288,188.78 : x
  2. Step 2: Convert to fraction form
    3,611,845.69/5,288,188.78 = 5,288,188.78/x
  3. Step 3: Cross multiply
    3,611,845.69x = 5,288,188.78 × 5,288,188.78
  4. Step 4: Simplify right side
    3,611,845.69x = 27,964,940,586,138.36
  5. Step 5: Solve for x
    x = 27,964,940,586,138.36/3,611,845.69
  6. Step 6: Final answer
    x = 7,742,562.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.