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Finding the Third Proportional to 534,836 and 1,174,635

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Solution

The third proportional to 534,836 and 1,174,635 is: 2,579,795.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,836 : 1,174,635 = 1,174,635 : x
  2. Step 2: Convert to fraction form
    534,836/1,174,635 = 1,174,635/x
  3. Step 3: Cross multiply
    534,836x = 1,174,635 × 1,174,635
  4. Step 4: Simplify right side
    534,836x = 1,379,767,383,225
  5. Step 5: Solve for x
    x = 1,379,767,383,225/534,836
  6. Step 6: Final answer
    x = 2,579,795.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.