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Finding the Third Proportional to 2,192,842.13 and 3,289,263.19

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Solution

The third proportional to 2,192,842.13 and 3,289,263.19 is: 4,933,894.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192,842.13 : 3,289,263.19 = 3,289,263.19 : x
  2. Step 2: Convert to fraction form
    2,192,842.13/3,289,263.19 = 3,289,263.19/x
  3. Step 3: Cross multiply
    2,192,842.13x = 3,289,263.19 × 3,289,263.19
  4. Step 4: Simplify right side
    2,192,842.13x = 10,819,252,316,642.66
  5. Step 5: Solve for x
    x = 10,819,252,316,642.66/2,192,842.13
  6. Step 6: Final answer
    x = 4,933,894.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.