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Finding the Third Proportional to 378,954 and 810,416

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Solution

The third proportional to 378,954 and 810,416 is: 1,733,123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,954 : 810,416 = 810,416 : x
  2. Step 2: Convert to fraction form
    378,954/810,416 = 810,416/x
  3. Step 3: Cross multiply
    378,954x = 810,416 × 810,416
  4. Step 4: Simplify right side
    378,954x = 656,774,093,056
  5. Step 5: Solve for x
    x = 656,774,093,056/378,954
  6. Step 6: Final answer
    x = 1,733,123.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.