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Finding the Third Proportional to 534,456 and 821,844

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Solution

The third proportional to 534,456 and 821,844 is: 1,263,766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,456 : 821,844 = 821,844 : x
  2. Step 2: Convert to fraction form
    534,456/821,844 = 821,844/x
  3. Step 3: Cross multiply
    534,456x = 821,844 × 821,844
  4. Step 4: Simplify right side
    534,456x = 675,427,560,336
  5. Step 5: Solve for x
    x = 675,427,560,336/534,456
  6. Step 6: Final answer
    x = 1,263,766.45

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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.