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Finding the Third Proportional to 994,923 and 2,131,785

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Solution

The third proportional to 994,923 and 2,131,785 is: 4,567,697.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    994,923 : 2,131,785 = 2,131,785 : x
  2. Step 2: Convert to fraction form
    994,923/2,131,785 = 2,131,785/x
  3. Step 3: Cross multiply
    994,923x = 2,131,785 × 2,131,785
  4. Step 4: Simplify right side
    994,923x = 4,544,507,286,225
  5. Step 5: Solve for x
    x = 4,544,507,286,225/994,923
  6. Step 6: Final answer
    x = 4,567,697.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.