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Finding the Third Proportional to 1,469,709.56 and 2,998,465.59

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Solution

The third proportional to 1,469,709.56 and 2,998,465.59 is: 6,117,396.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469,709.56 : 2,998,465.59 = 2,998,465.59 : x
  2. Step 2: Convert to fraction form
    1,469,709.56/2,998,465.59 = 2,998,465.59/x
  3. Step 3: Cross multiply
    1,469,709.56x = 2,998,465.59 × 2,998,465.59
  4. Step 4: Simplify right side
    1,469,709.56x = 8,990,795,916,902.54
  5. Step 5: Solve for x
    x = 8,990,795,916,902.54/1,469,709.56
  6. Step 6: Final answer
    x = 6,117,396.35

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.