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Finding the Third Proportional to 846,544 and 1,149,696

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Solution

The third proportional to 846,544 and 1,149,696 is: 1,561,408.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,544 : 1,149,696 = 1,149,696 : x
  2. Step 2: Convert to fraction form
    846,544/1,149,696 = 1,149,696/x
  3. Step 3: Cross multiply
    846,544x = 1,149,696 × 1,149,696
  4. Step 4: Simplify right side
    846,544x = 1,321,800,892,416
  5. Step 5: Solve for x
    x = 1,321,800,892,416/846,544
  6. Step 6: Final answer
    x = 1,561,408.38

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