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Finding the Third Proportional to 1,306,946 and 1,998,867

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Solution

The third proportional to 1,306,946 and 1,998,867 is: 3,057,103.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,946 : 1,998,867 = 1,998,867 : x
  2. Step 2: Convert to fraction form
    1,306,946/1,998,867 = 1,998,867/x
  3. Step 3: Cross multiply
    1,306,946x = 1,998,867 × 1,998,867
  4. Step 4: Simplify right side
    1,306,946x = 3,995,469,283,689
  5. Step 5: Solve for x
    x = 3,995,469,283,689/1,306,946
  6. Step 6: Final answer
    x = 3,057,103.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.