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Finding the Third Proportional to 633,690 and 860,895

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Solution

The third proportional to 633,690 and 860,895 is: 1,169,562.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,690 : 860,895 = 860,895 : x
  2. Step 2: Convert to fraction form
    633,690/860,895 = 860,895/x
  3. Step 3: Cross multiply
    633,690x = 860,895 × 860,895
  4. Step 4: Simplify right side
    633,690x = 741,140,201,025
  5. Step 5: Solve for x
    x = 741,140,201,025/633,690
  6. Step 6: Final answer
    x = 1,169,562.72

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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.