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Finding the Third Proportional to 2,571,157 and 5,646,686

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Solution

The third proportional to 2,571,157 and 5,646,686 is: 12,401,056.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571,157 : 5,646,686 = 5,646,686 : x
  2. Step 2: Convert to fraction form
    2,571,157/5,646,686 = 5,646,686/x
  3. Step 3: Cross multiply
    2,571,157x = 5,646,686 × 5,646,686
  4. Step 4: Simplify right side
    2,571,157x = 31,885,062,782,596
  5. Step 5: Solve for x
    x = 31,885,062,782,596/2,571,157
  6. Step 6: Final answer
    x = 12,401,056.33

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.