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Finding the Third Proportional to 664,923 and 1,462,685

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Solution

The third proportional to 664,923 and 1,462,685 is: 3,217,586.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,923 : 1,462,685 = 1,462,685 : x
  2. Step 2: Convert to fraction form
    664,923/1,462,685 = 1,462,685/x
  3. Step 3: Cross multiply
    664,923x = 1,462,685 × 1,462,685
  4. Step 4: Simplify right side
    664,923x = 2,139,447,409,225
  5. Step 5: Solve for x
    x = 2,139,447,409,225/664,923
  6. Step 6: Final answer
    x = 3,217,586.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.