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Finding the Third Proportional to 618,429.38 and 1,330,353.38

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Solution

The third proportional to 618,429.38 and 1,330,353.38 is: 2,861,830.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,429.38 : 1,330,353.38 = 1,330,353.38 : x
  2. Step 2: Convert to fraction form
    618,429.38/1,330,353.38 = 1,330,353.38/x
  3. Step 3: Cross multiply
    618,429.38x = 1,330,353.38 × 1,330,353.38
  4. Step 4: Simplify right side
    618,429.38x = 1,769,840,102,373.89
  5. Step 5: Solve for x
    x = 1,769,840,102,373.89/618,429.38
  6. Step 6: Final answer
    x = 2,861,830.59

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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.