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Finding the Third Proportional to 633,692 and 860,898

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Solution

The third proportional to 633,692 and 860,898 is: 1,169,567.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,692 : 860,898 = 860,898 : x
  2. Step 2: Convert to fraction form
    633,692/860,898 = 860,898/x
  3. Step 3: Cross multiply
    633,692x = 860,898 × 860,898
  4. Step 4: Simplify right side
    633,692x = 741,145,366,404
  5. Step 5: Solve for x
    x = 741,145,366,404/633,692
  6. Step 6: Final answer
    x = 1,169,567.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.