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Finding the Third Proportional to 1,202,786 and 2,796,917

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Solution

The third proportional to 1,202,786 and 2,796,917 is: 6,503,854.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202,786 : 2,796,917 = 2,796,917 : x
  2. Step 2: Convert to fraction form
    1,202,786/2,796,917 = 2,796,917/x
  3. Step 3: Cross multiply
    1,202,786x = 2,796,917 × 2,796,917
  4. Step 4: Simplify right side
    1,202,786x = 7,822,744,704,889
  5. Step 5: Solve for x
    x = 7,822,744,704,889/1,202,786
  6. Step 6: Final answer
    x = 6,503,854.14

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.