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Finding the Third Proportional to 4,040,263.50 and 5,669,214

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Solution

The third proportional to 4,040,263.50 and 5,669,214 is: 7,954,923.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,040,263.50 : 5,669,214 = 5,669,214 : x
  2. Step 2: Convert to fraction form
    4,040,263.50/5,669,214 = 5,669,214/x
  3. Step 3: Cross multiply
    4,040,263.50x = 5,669,214 × 5,669,214
  4. Step 4: Simplify right side
    4,040,263.50x = 32,139,987,377,796
  5. Step 5: Solve for x
    x = 32,139,987,377,796/4,040,263.50
  6. Step 6: Final answer
    x = 7,954,923.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.