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Finding the Third Proportional to 3,214,935 and 4,378,189.50

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Solution

The third proportional to 3,214,935 and 4,378,189.50 is: 5,962,342.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214,935 : 4,378,189.50 = 4,378,189.50 : x
  2. Step 2: Convert to fraction form
    3,214,935/4,378,189.50 = 4,378,189.50/x
  3. Step 3: Cross multiply
    3,214,935x = 4,378,189.50 × 4,378,189.50
  4. Step 4: Simplify right side
    3,214,935x = 19,168,543,297,910.25
  5. Step 5: Solve for x
    x = 19,168,543,297,910.25/3,214,935
  6. Step 6: Final answer
    x = 5,962,342.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.