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Finding the Third Proportional to 548,070 and 860,956

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Solution

The third proportional to 548,070 and 860,956 is: 1,352,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,070 : 860,956 = 860,956 : x
  2. Step 2: Convert to fraction form
    548,070/860,956 = 860,956/x
  3. Step 3: Cross multiply
    548,070x = 860,956 × 860,956
  4. Step 4: Simplify right side
    548,070x = 741,245,233,936
  5. Step 5: Solve for x
    x = 741,245,233,936/548,070
  6. Step 6: Final answer
    x = 1,352,464.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.