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Finding the Third Proportional to 943,086 and 2,099,592

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Solution

The third proportional to 943,086 and 2,099,592 is: 4,674,320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,086 : 2,099,592 = 2,099,592 : x
  2. Step 2: Convert to fraction form
    943,086/2,099,592 = 2,099,592/x
  3. Step 3: Cross multiply
    943,086x = 2,099,592 × 2,099,592
  4. Step 4: Simplify right side
    943,086x = 4,408,286,566,464
  5. Step 5: Solve for x
    x = 4,408,286,566,464/943,086
  6. Step 6: Final answer
    x = 4,674,320.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.