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Finding the Third Proportional to 633,694 and 860,900

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Solution

The third proportional to 633,694 and 860,900 is: 1,169,568.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,694 : 860,900 = 860,900 : x
  2. Step 2: Convert to fraction form
    633,694/860,900 = 860,900/x
  3. Step 3: Cross multiply
    633,694x = 860,900 × 860,900
  4. Step 4: Simplify right side
    633,694x = 741,148,810,000
  5. Step 5: Solve for x
    x = 741,148,810,000/633,694
  6. Step 6: Final answer
    x = 1,169,568.92

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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.