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Finding the Third Proportional to 2,805,198 and 4,102,821

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Solution

The third proportional to 2,805,198 and 4,102,821 is: 6,000,695.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805,198 : 4,102,821 = 4,102,821 : x
  2. Step 2: Convert to fraction form
    2,805,198/4,102,821 = 4,102,821/x
  3. Step 3: Cross multiply
    2,805,198x = 4,102,821 × 4,102,821
  4. Step 4: Simplify right side
    2,805,198x = 16,833,140,158,041
  5. Step 5: Solve for x
    x = 16,833,140,158,041/2,805,198
  6. Step 6: Final answer
    x = 6,000,695.91

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.