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Finding the Third Proportional to 3,923,943.75 and 5,889,828.38

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Solution

The third proportional to 3,923,943.75 and 5,889,828.38 is: 8,840,615.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923,943.75 : 5,889,828.38 = 5,889,828.38 : x
  2. Step 2: Convert to fraction form
    3,923,943.75/5,889,828.38 = 5,889,828.38/x
  3. Step 3: Cross multiply
    3,923,943.75x = 5,889,828.38 × 5,889,828.38
  4. Step 4: Simplify right side
    3,923,943.75x = 34,690,078,286,955.14
  5. Step 5: Solve for x
    x = 34,690,078,286,955.14/3,923,943.75
  6. Step 6: Final answer
    x = 8,840,615.59

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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.