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Finding the Third Proportional to 2,065,867 and 4,474,777

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Solution

The third proportional to 2,065,867 and 4,474,777 is: 9,692,603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,867 : 4,474,777 = 4,474,777 : x
  2. Step 2: Convert to fraction form
    2,065,867/4,474,777 = 4,474,777/x
  3. Step 3: Cross multiply
    2,065,867x = 4,474,777 × 4,474,777
  4. Step 4: Simplify right side
    2,065,867x = 20,023,629,199,729
  5. Step 5: Solve for x
    x = 20,023,629,199,729/2,065,867
  6. Step 6: Final answer
    x = 9,692,603.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.