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Finding the Third Proportional to 2,102,810 and 4,594,821

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Solution

The third proportional to 2,102,810 and 4,594,821 is: 10,040,079.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,810 : 4,594,821 = 4,594,821 : x
  2. Step 2: Convert to fraction form
    2,102,810/4,594,821 = 4,594,821/x
  3. Step 3: Cross multiply
    2,102,810x = 4,594,821 × 4,594,821
  4. Step 4: Simplify right side
    2,102,810x = 21,112,380,022,041
  5. Step 5: Solve for x
    x = 21,112,380,022,041/2,102,810
  6. Step 6: Final answer
    x = 10,040,079.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.