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Finding the Third Proportional to 3,089,823 and 4,524,120

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Solution

The third proportional to 3,089,823 and 4,524,120 is: 6,624,218.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089,823 : 4,524,120 = 4,524,120 : x
  2. Step 2: Convert to fraction form
    3,089,823/4,524,120 = 4,524,120/x
  3. Step 3: Cross multiply
    3,089,823x = 4,524,120 × 4,524,120
  4. Step 4: Simplify right side
    3,089,823x = 20,467,661,774,400
  5. Step 5: Solve for x
    x = 20,467,661,774,400/3,089,823
  6. Step 6: Final answer
    x = 6,624,218.21

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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.