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Finding the Third Proportional to 3,011,789.25 and 5,872,257

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Solution

The third proportional to 3,011,789.25 and 5,872,257 is: 11,449,473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011,789.25 : 5,872,257 = 5,872,257 : x
  2. Step 2: Convert to fraction form
    3,011,789.25/5,872,257 = 5,872,257/x
  3. Step 3: Cross multiply
    3,011,789.25x = 5,872,257 × 5,872,257
  4. Step 4: Simplify right side
    3,011,789.25x = 34,483,402,274,049
  5. Step 5: Solve for x
    x = 34,483,402,274,049/3,011,789.25
  6. Step 6: Final answer
    x = 11,449,473.85

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.