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Finding the Third Proportional to 777,444 and 1,199,377

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Solution

The third proportional to 777,444 and 1,199,377 is: 1,850,300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,444 : 1,199,377 = 1,199,377 : x
  2. Step 2: Convert to fraction form
    777,444/1,199,377 = 1,199,377/x
  3. Step 3: Cross multiply
    777,444x = 1,199,377 × 1,199,377
  4. Step 4: Simplify right side
    777,444x = 1,438,505,188,129
  5. Step 5: Solve for x
    x = 1,438,505,188,129/777,444
  6. Step 6: Final answer
    x = 1,850,300.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.