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Finding the Third Proportional to 1,491,984 and 3,193,380

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Solution

The third proportional to 1,491,984 and 3,193,380 is: 6,834,976.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491,984 : 3,193,380 = 3,193,380 : x
  2. Step 2: Convert to fraction form
    1,491,984/3,193,380 = 3,193,380/x
  3. Step 3: Cross multiply
    1,491,984x = 3,193,380 × 3,193,380
  4. Step 4: Simplify right side
    1,491,984x = 10,197,675,824,400
  5. Step 5: Solve for x
    x = 10,197,675,824,400/1,491,984
  6. Step 6: Final answer
    x = 6,834,976.66

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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.