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Finding the Third Proportional to 2,814,912 and 4,659,105

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Solution

The third proportional to 2,814,912 and 4,659,105 is: 7,711,523.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814,912 : 4,659,105 = 4,659,105 : x
  2. Step 2: Convert to fraction form
    2,814,912/4,659,105 = 4,659,105/x
  3. Step 3: Cross multiply
    2,814,912x = 4,659,105 × 4,659,105
  4. Step 4: Simplify right side
    2,814,912x = 21,707,259,401,025
  5. Step 5: Solve for x
    x = 21,707,259,401,025/2,814,912
  6. Step 6: Final answer
    x = 7,711,523.27

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.