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Finding the Third Proportional to 1,829,340.07 and 3,803,842.27

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Solution

The third proportional to 1,829,340.07 and 3,803,842.27 is: 7,909,527.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829,340.07 : 3,803,842.27 = 3,803,842.27 : x
  2. Step 2: Convert to fraction form
    1,829,340.07/3,803,842.27 = 3,803,842.27/x
  3. Step 3: Cross multiply
    1,829,340.07x = 3,803,842.27 × 3,803,842.27
  4. Step 4: Simplify right side
    1,829,340.07x = 14,469,215,981,755.13
  5. Step 5: Solve for x
    x = 14,469,215,981,755.13/1,829,340.07
  6. Step 6: Final answer
    x = 7,909,527.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.