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Finding the Third Proportional to 1,753,633.55 and 3,768,340.22

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Solution

The third proportional to 1,753,633.55 and 3,768,340.22 is: 8,097,694.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753,633.55 : 3,768,340.22 = 3,768,340.22 : x
  2. Step 2: Convert to fraction form
    1,753,633.55/3,768,340.22 = 3,768,340.22/x
  3. Step 3: Cross multiply
    1,753,633.55x = 3,768,340.22 × 3,768,340.22
  4. Step 4: Simplify right side
    1,753,633.55x = 14,200,388,004,248.80
  5. Step 5: Solve for x
    x = 14,200,388,004,248.80/1,753,633.55
  6. Step 6: Final answer
    x = 8,097,694.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.