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Finding the Third Proportional to 4,420,224 and 6,825,600

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Solution

The third proportional to 4,420,224 and 6,825,600 is: 10,539,921.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,420,224 : 6,825,600 = 6,825,600 : x
  2. Step 2: Convert to fraction form
    4,420,224/6,825,600 = 6,825,600/x
  3. Step 3: Cross multiply
    4,420,224x = 6,825,600 × 6,825,600
  4. Step 4: Simplify right side
    4,420,224x = 46,588,815,360,000
  5. Step 5: Solve for x
    x = 46,588,815,360,000/4,420,224
  6. Step 6: Final answer
    x = 10,539,921.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.