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Finding the Third Proportional to 3,433,923 and 6,781,419

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Solution

The third proportional to 3,433,923 and 6,781,419 is: 13,392,159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433,923 : 6,781,419 = 6,781,419 : x
  2. Step 2: Convert to fraction form
    3,433,923/6,781,419 = 6,781,419/x
  3. Step 3: Cross multiply
    3,433,923x = 6,781,419 × 6,781,419
  4. Step 4: Simplify right side
    3,433,923x = 45,987,643,653,561
  5. Step 5: Solve for x
    x = 45,987,643,653,561/3,433,923
  6. Step 6: Final answer
    x = 13,392,159.25

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.