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Finding the Third Proportional to 1,205,837 and 2,510,910

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Solution

The third proportional to 1,205,837 and 2,510,910 is: 5,228,458.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,837 : 2,510,910 = 2,510,910 : x
  2. Step 2: Convert to fraction form
    1,205,837/2,510,910 = 2,510,910/x
  3. Step 3: Cross multiply
    1,205,837x = 2,510,910 × 2,510,910
  4. Step 4: Simplify right side
    1,205,837x = 6,304,669,028,100
  5. Step 5: Solve for x
    x = 6,304,669,028,100/1,205,837
  6. Step 6: Final answer
    x = 5,228,458.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.