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Finding the Third Proportional to 2,054,271 and 4,580,610

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Solution

The third proportional to 2,054,271 and 4,580,610 is: 10,213,836.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054,271 : 4,580,610 = 4,580,610 : x
  2. Step 2: Convert to fraction form
    2,054,271/4,580,610 = 4,580,610/x
  3. Step 3: Cross multiply
    2,054,271x = 4,580,610 × 4,580,610
  4. Step 4: Simplify right side
    2,054,271x = 20,981,987,972,100
  5. Step 5: Solve for x
    x = 20,981,987,972,100/2,054,271
  6. Step 6: Final answer
    x = 10,213,836.43

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.