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Finding the Third Proportional to 486,825 and 1,062,225

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Solution

The third proportional to 486,825 and 1,062,225 is: 2,317,715.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,825 : 1,062,225 = 1,062,225 : x
  2. Step 2: Convert to fraction form
    486,825/1,062,225 = 1,062,225/x
  3. Step 3: Cross multiply
    486,825x = 1,062,225 × 1,062,225
  4. Step 4: Simplify right side
    486,825x = 1,128,321,950,625
  5. Step 5: Solve for x
    x = 1,128,321,950,625/486,825
  6. Step 6: Final answer
    x = 2,317,715.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.