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Finding the Third Proportional to 880,968.94 and 1,923,723.56

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Solution

The third proportional to 880,968.94 and 1,923,723.56 is: 4,200,729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,968.94 : 1,923,723.56 = 1,923,723.56 : x
  2. Step 2: Convert to fraction form
    880,968.94/1,923,723.56 = 1,923,723.56/x
  3. Step 3: Cross multiply
    880,968.94x = 1,923,723.56 × 1,923,723.56
  4. Step 4: Simplify right side
    880,968.94x = 3,700,712,344,917.69
  5. Step 5: Solve for x
    x = 3,700,712,344,917.69/880,968.94
  6. Step 6: Final answer
    x = 4,200,729.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.