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Finding the Third Proportional to 1,733,950.13 and 3,723,561.56

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Solution

The third proportional to 1,733,950.13 and 3,723,561.56 is: 7,996,141.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733,950.13 : 3,723,561.56 = 3,723,561.56 : x
  2. Step 2: Convert to fraction form
    1,733,950.13/3,723,561.56 = 3,723,561.56/x
  3. Step 3: Cross multiply
    1,733,950.13x = 3,723,561.56 × 3,723,561.56
  4. Step 4: Simplify right side
    1,733,950.13x = 13,864,910,709,727.44
  5. Step 5: Solve for x
    x = 13,864,910,709,727.44/1,733,950.13
  6. Step 6: Final answer
    x = 7,996,141.59

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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.