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Finding the Third Proportional to 1,397,356 and 2,993,917

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Solution

The third proportional to 1,397,356 and 2,993,917 is: 6,414,642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,356 : 2,993,917 = 2,993,917 : x
  2. Step 2: Convert to fraction form
    1,397,356/2,993,917 = 2,993,917/x
  3. Step 3: Cross multiply
    1,397,356x = 2,993,917 × 2,993,917
  4. Step 4: Simplify right side
    1,397,356x = 8,963,539,002,889
  5. Step 5: Solve for x
    x = 8,963,539,002,889/1,397,356
  6. Step 6: Final answer
    x = 6,414,642.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.