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Finding the Third Proportional to 821,907 and 1,766,286

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Solution

The third proportional to 821,907 and 1,766,286 is: 3,795,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,907 : 1,766,286 = 1,766,286 : x
  2. Step 2: Convert to fraction form
    821,907/1,766,286 = 1,766,286/x
  3. Step 3: Cross multiply
    821,907x = 1,766,286 × 1,766,286
  4. Step 4: Simplify right side
    821,907x = 3,119,766,233,796
  5. Step 5: Solve for x
    x = 3,119,766,233,796/821,907
  6. Step 6: Final answer
    x = 3,795,765.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.