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Finding the Third Proportional to 4,103,794.13 and 5,997,376.69

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Solution

The third proportional to 4,103,794.13 and 5,997,376.69 is: 8,764,700.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103,794.13 : 5,997,376.69 = 5,997,376.69 : x
  2. Step 2: Convert to fraction form
    4,103,794.13/5,997,376.69 = 5,997,376.69/x
  3. Step 3: Cross multiply
    4,103,794.13x = 5,997,376.69 × 5,997,376.69
  4. Step 4: Simplify right side
    4,103,794.13x = 35,968,527,131,768.47
  5. Step 5: Solve for x
    x = 35,968,527,131,768.47/4,103,794.13
  6. Step 6: Final answer
    x = 8,764,700.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.