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Finding the Third Proportional to 452,845.69 and 959,591.81

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Solution

The third proportional to 452,845.69 and 959,591.81 is: 2,033,400.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,845.69 : 959,591.81 = 959,591.81 : x
  2. Step 2: Convert to fraction form
    452,845.69/959,591.81 = 959,591.81/x
  3. Step 3: Cross multiply
    452,845.69x = 959,591.81 × 959,591.81
  4. Step 4: Simplify right side
    452,845.69x = 920,816,446,617.04
  5. Step 5: Solve for x
    x = 920,816,446,617.04/452,845.69
  6. Step 6: Final answer
    x = 2,033,400.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.