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Finding the Third Proportional to 4,189,176 and 6,405,604

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Solution

The third proportional to 4,189,176 and 6,405,604 is: 9,794,709.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189,176 : 6,405,604 = 6,405,604 : x
  2. Step 2: Convert to fraction form
    4,189,176/6,405,604 = 6,405,604/x
  3. Step 3: Cross multiply
    4,189,176x = 6,405,604 × 6,405,604
  4. Step 4: Simplify right side
    4,189,176x = 41,031,762,604,816
  5. Step 5: Solve for x
    x = 41,031,762,604,816/4,189,176
  6. Step 6: Final answer
    x = 9,794,709.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.