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Finding the Third Proportional to 1,816,414.88 and 3,821,033.25

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Solution

The third proportional to 1,816,414.88 and 3,821,033.25 is: 8,037,973.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816,414.88 : 3,821,033.25 = 3,821,033.25 : x
  2. Step 2: Convert to fraction form
    1,816,414.88/3,821,033.25 = 3,821,033.25/x
  3. Step 3: Cross multiply
    1,816,414.88x = 3,821,033.25 × 3,821,033.25
  4. Step 4: Simplify right side
    1,816,414.88x = 14,600,295,097,605.56
  5. Step 5: Solve for x
    x = 14,600,295,097,605.56/1,816,414.88
  6. Step 6: Final answer
    x = 8,037,973.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.