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Finding the Third Proportional to 2,838,474 and 6,149,394

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Solution

The third proportional to 2,838,474 and 6,149,394 is: 13,322,315.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838,474 : 6,149,394 = 6,149,394 : x
  2. Step 2: Convert to fraction form
    2,838,474/6,149,394 = 6,149,394/x
  3. Step 3: Cross multiply
    2,838,474x = 6,149,394 × 6,149,394
  4. Step 4: Simplify right side
    2,838,474x = 37,815,046,567,236
  5. Step 5: Solve for x
    x = 37,815,046,567,236/2,838,474
  6. Step 6: Final answer
    x = 13,322,315.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.