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Finding the Third Proportional to 548,078 and 860,970

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Solution

The third proportional to 548,078 and 860,970 is: 1,352,488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,078 : 860,970 = 860,970 : x
  2. Step 2: Convert to fraction form
    548,078/860,970 = 860,970/x
  3. Step 3: Cross multiply
    548,078x = 860,970 × 860,970
  4. Step 4: Simplify right side
    548,078x = 741,269,340,900
  5. Step 5: Solve for x
    x = 741,269,340,900/548,078
  6. Step 6: Final answer
    x = 1,352,488.77

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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.