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Finding the Third Proportional to 2,065,738 and 4,474,512

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Solution

The third proportional to 2,065,738 and 4,474,512 is: 9,692,060.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,738 : 4,474,512 = 4,474,512 : x
  2. Step 2: Convert to fraction form
    2,065,738/4,474,512 = 4,474,512/x
  3. Step 3: Cross multiply
    2,065,738x = 4,474,512 × 4,474,512
  4. Step 4: Simplify right side
    2,065,738x = 20,021,257,638,144
  5. Step 5: Solve for x
    x = 20,021,257,638,144/2,065,738
  6. Step 6: Final answer
    x = 9,692,060.48

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