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Finding the Third Proportional to 3,214,926 and 4,378,185

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Solution

The third proportional to 3,214,926 and 4,378,185 is: 5,962,346.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214,926 : 4,378,185 = 4,378,185 : x
  2. Step 2: Convert to fraction form
    3,214,926/4,378,185 = 4,378,185/x
  3. Step 3: Cross multiply
    3,214,926x = 4,378,185 × 4,378,185
  4. Step 4: Simplify right side
    3,214,926x = 19,168,503,894,225
  5. Step 5: Solve for x
    x = 19,168,503,894,225/3,214,926
  6. Step 6: Final answer
    x = 5,962,346.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.