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Finding the Third Proportional to 4,459,322 and 6,832,785

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Solution

The third proportional to 4,459,322 and 6,832,785 is: 10,469,517.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,459,322 : 6,832,785 = 6,832,785 : x
  2. Step 2: Convert to fraction form
    4,459,322/6,832,785 = 6,832,785/x
  3. Step 3: Cross multiply
    4,459,322x = 6,832,785 × 6,832,785
  4. Step 4: Simplify right side
    4,459,322x = 46,686,950,856,225
  5. Step 5: Solve for x
    x = 46,686,950,856,225/4,459,322
  6. Step 6: Final answer
    x = 10,469,517.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.