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Finding the Third Proportional to 1,542,467 and 3,321,777

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Solution

The third proportional to 1,542,467 and 3,321,777 is: 7,153,606.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542,467 : 3,321,777 = 3,321,777 : x
  2. Step 2: Convert to fraction form
    1,542,467/3,321,777 = 3,321,777/x
  3. Step 3: Cross multiply
    1,542,467x = 3,321,777 × 3,321,777
  4. Step 4: Simplify right side
    1,542,467x = 11,034,202,437,729
  5. Step 5: Solve for x
    x = 11,034,202,437,729/1,542,467
  6. Step 6: Final answer
    x = 7,153,606.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.