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Finding the Third Proportional to 2,447,648 and 3,440,738

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Solution

The third proportional to 2,447,648 and 3,440,738 is: 4,836,756.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447,648 : 3,440,738 = 3,440,738 : x
  2. Step 2: Convert to fraction form
    2,447,648/3,440,738 = 3,440,738/x
  3. Step 3: Cross multiply
    2,447,648x = 3,440,738 × 3,440,738
  4. Step 4: Simplify right side
    2,447,648x = 11,838,677,984,644
  5. Step 5: Solve for x
    x = 11,838,677,984,644/2,447,648
  6. Step 6: Final answer
    x = 4,836,756.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.