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Finding the Third Proportional to 1,162,011 and 2,747,469

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Solution

The third proportional to 1,162,011 and 2,747,469 is: 6,496,139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162,011 : 2,747,469 = 2,747,469 : x
  2. Step 2: Convert to fraction form
    1,162,011/2,747,469 = 2,747,469/x
  3. Step 3: Cross multiply
    1,162,011x = 2,747,469 × 2,747,469
  4. Step 4: Simplify right side
    1,162,011x = 7,548,585,905,961
  5. Step 5: Solve for x
    x = 7,548,585,905,961/1,162,011
  6. Step 6: Final answer
    x = 6,496,139.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.