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Finding the Third Proportional to 619,320.94 and 1,364,365.69

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Solution

The third proportional to 619,320.94 and 1,364,365.69 is: 3,005,701.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,320.94 : 1,364,365.69 = 1,364,365.69 : x
  2. Step 2: Convert to fraction form
    619,320.94/1,364,365.69 = 1,364,365.69/x
  3. Step 3: Cross multiply
    619,320.94x = 1,364,365.69 × 1,364,365.69
  4. Step 4: Simplify right side
    619,320.94x = 1,861,493,729,227.35
  5. Step 5: Solve for x
    x = 1,861,493,729,227.35/619,320.94
  6. Step 6: Final answer
    x = 3,005,701.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.