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Finding the Third Proportional to 4,619,695 and 7,190,642

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Solution

The third proportional to 4,619,695 and 7,190,642 is: 11,192,369.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,619,695 : 7,190,642 = 7,190,642 : x
  2. Step 2: Convert to fraction form
    4,619,695/7,190,642 = 7,190,642/x
  3. Step 3: Cross multiply
    4,619,695x = 7,190,642 × 7,190,642
  4. Step 4: Simplify right side
    4,619,695x = 51,705,332,372,164
  5. Step 5: Solve for x
    x = 51,705,332,372,164/4,619,695
  6. Step 6: Final answer
    x = 11,192,369.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.