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Finding the Third Proportional to 3,405,937.50 and 5,123,214

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Solution

The third proportional to 3,405,937.50 and 5,123,214 is: 7,706,342.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405,937.50 : 5,123,214 = 5,123,214 : x
  2. Step 2: Convert to fraction form
    3,405,937.50/5,123,214 = 5,123,214/x
  3. Step 3: Cross multiply
    3,405,937.50x = 5,123,214 × 5,123,214
  4. Step 4: Simplify right side
    3,405,937.50x = 26,247,321,689,796
  5. Step 5: Solve for x
    x = 26,247,321,689,796/3,405,937.50
  6. Step 6: Final answer
    x = 7,706,342.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.