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Finding the Third Proportional to 769,774 and 1,108,823

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Solution

The third proportional to 769,774 and 1,108,823 is: 1,597,207.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,774 : 1,108,823 = 1,108,823 : x
  2. Step 2: Convert to fraction form
    769,774/1,108,823 = 1,108,823/x
  3. Step 3: Cross multiply
    769,774x = 1,108,823 × 1,108,823
  4. Step 4: Simplify right side
    769,774x = 1,229,488,445,329
  5. Step 5: Solve for x
    x = 1,229,488,445,329/769,774
  6. Step 6: Final answer
    x = 1,597,207.03

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.