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Finding the Third Proportional to 959,419.69 and 2,087,964.84

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Solution

The third proportional to 959,419.69 and 2,087,964.84 is: 4,543,993.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,419.69 : 2,087,964.84 = 2,087,964.84 : x
  2. Step 2: Convert to fraction form
    959,419.69/2,087,964.84 = 2,087,964.84/x
  3. Step 3: Cross multiply
    959,419.69x = 2,087,964.84 × 2,087,964.84
  4. Step 4: Simplify right side
    959,419.69x = 4,359,597,188,735.96
  5. Step 5: Solve for x
    x = 4,359,597,188,735.96/959,419.69
  6. Step 6: Final answer
    x = 4,543,993.88

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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.