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Finding the Third Proportional to 1,164,296 and 2,505,652

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Solution

The third proportional to 1,164,296 and 2,505,652 is: 5,392,350.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,296 : 2,505,652 = 2,505,652 : x
  2. Step 2: Convert to fraction form
    1,164,296/2,505,652 = 2,505,652/x
  3. Step 3: Cross multiply
    1,164,296x = 2,505,652 × 2,505,652
  4. Step 4: Simplify right side
    1,164,296x = 6,278,291,945,104
  5. Step 5: Solve for x
    x = 6,278,291,945,104/1,164,296
  6. Step 6: Final answer
    x = 5,392,350.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.