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Finding the Third Proportional to 3,947,764 and 5,784,771

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Solution

The third proportional to 3,947,764 and 5,784,771 is: 8,476,589.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947,764 : 5,784,771 = 5,784,771 : x
  2. Step 2: Convert to fraction form
    3,947,764/5,784,771 = 5,784,771/x
  3. Step 3: Cross multiply
    3,947,764x = 5,784,771 × 5,784,771
  4. Step 4: Simplify right side
    3,947,764x = 33,463,575,522,441
  5. Step 5: Solve for x
    x = 33,463,575,522,441/3,947,764
  6. Step 6: Final answer
    x = 8,476,589.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.