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Finding the Third Proportional to 965,764.69 and 1,494,721.69

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Solution

The third proportional to 965,764.69 and 1,494,721.69 is: 2,313,392.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,764.69 : 1,494,721.69 = 1,494,721.69 : x
  2. Step 2: Convert to fraction form
    965,764.69/1,494,721.69 = 1,494,721.69/x
  3. Step 3: Cross multiply
    965,764.69x = 1,494,721.69 × 1,494,721.69
  4. Step 4: Simplify right side
    965,764.69x = 2,234,192,923,082.85
  5. Step 5: Solve for x
    x = 2,234,192,923,082.85/965,764.69
  6. Step 6: Final answer
    x = 2,313,392.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.