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Finding the Third Proportional to 536,744 and 827,220

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Solution

The third proportional to 536,744 and 827,220 is: 1,274,896.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,744 : 827,220 = 827,220 : x
  2. Step 2: Convert to fraction form
    536,744/827,220 = 827,220/x
  3. Step 3: Cross multiply
    536,744x = 827,220 × 827,220
  4. Step 4: Simplify right side
    536,744x = 684,292,928,400
  5. Step 5: Solve for x
    x = 684,292,928,400/536,744
  6. Step 6: Final answer
    x = 1,274,896.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.