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Finding the Third Proportional to 541,064.81 and 1,163,529.56

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Solution

The third proportional to 541,064.81 and 1,163,529.56 is: 2,502,105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,064.81 : 1,163,529.56 = 1,163,529.56 : x
  2. Step 2: Convert to fraction form
    541,064.81/1,163,529.56 = 1,163,529.56/x
  3. Step 3: Cross multiply
    541,064.81x = 1,163,529.56 × 1,163,529.56
  4. Step 4: Simplify right side
    541,064.81x = 1,353,801,042,811.44
  5. Step 5: Solve for x
    x = 1,353,801,042,811.44/541,064.81
  6. Step 6: Final answer
    x = 2,502,105.13

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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.