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Finding the Third Proportional to 4,491,378 and 6,903,642

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Solution

The third proportional to 4,491,378 and 6,903,642 is: 10,611,503.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491,378 : 6,903,642 = 6,903,642 : x
  2. Step 2: Convert to fraction form
    4,491,378/6,903,642 = 6,903,642/x
  3. Step 3: Cross multiply
    4,491,378x = 6,903,642 × 6,903,642
  4. Step 4: Simplify right side
    4,491,378x = 47,660,272,864,164
  5. Step 5: Solve for x
    x = 47,660,272,864,164/4,491,378
  6. Step 6: Final answer
    x = 10,611,503.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.