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Finding the Third Proportional to 4,491,381 and 6,903,648

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Solution

The third proportional to 4,491,381 and 6,903,648 is: 10,611,514.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491,381 : 6,903,648 = 6,903,648 : x
  2. Step 2: Convert to fraction form
    4,491,381/6,903,648 = 6,903,648/x
  3. Step 3: Cross multiply
    4,491,381x = 6,903,648 × 6,903,648
  4. Step 4: Simplify right side
    4,491,381x = 47,660,355,707,904
  5. Step 5: Solve for x
    x = 47,660,355,707,904/4,491,381
  6. Step 6: Final answer
    x = 10,611,514.75

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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.