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Finding the Third Proportional to 2,182,120 and 4,741,951

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Solution

The third proportional to 2,182,120 and 4,741,951 is: 10,304,703.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,120 : 4,741,951 = 4,741,951 : x
  2. Step 2: Convert to fraction form
    2,182,120/4,741,951 = 4,741,951/x
  3. Step 3: Cross multiply
    2,182,120x = 4,741,951 × 4,741,951
  4. Step 4: Simplify right side
    2,182,120x = 22,486,099,286,401
  5. Step 5: Solve for x
    x = 22,486,099,286,401/2,182,120
  6. Step 6: Final answer
    x = 10,304,703.36

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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.