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Finding the Third Proportional to 3,089,810 and 4,524,102

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Solution

The third proportional to 3,089,810 and 4,524,102 is: 6,624,193.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089,810 : 4,524,102 = 4,524,102 : x
  2. Step 2: Convert to fraction form
    3,089,810/4,524,102 = 4,524,102/x
  3. Step 3: Cross multiply
    3,089,810x = 4,524,102 × 4,524,102
  4. Step 4: Simplify right side
    3,089,810x = 20,467,498,906,404
  5. Step 5: Solve for x
    x = 20,467,498,906,404/3,089,810
  6. Step 6: Final answer
    x = 6,624,193.37

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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.