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Finding the Third Proportional to 535,406 and 860,997

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Solution

The third proportional to 535,406 and 860,997 is: 1,384,586.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,406 : 860,997 = 860,997 : x
  2. Step 2: Convert to fraction form
    535,406/860,997 = 860,997/x
  3. Step 3: Cross multiply
    535,406x = 860,997 × 860,997
  4. Step 4: Simplify right side
    535,406x = 741,315,834,009
  5. Step 5: Solve for x
    x = 741,315,834,009/535,406
  6. Step 6: Final answer
    x = 1,384,586.34

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.