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Finding the Third Proportional to 777,438 and 1,199,367

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Solution

The third proportional to 777,438 and 1,199,367 is: 1,850,284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,438 : 1,199,367 = 1,199,367 : x
  2. Step 2: Convert to fraction form
    777,438/1,199,367 = 1,199,367/x
  3. Step 3: Cross multiply
    777,438x = 1,199,367 × 1,199,367
  4. Step 4: Simplify right side
    777,438x = 1,438,481,200,689
  5. Step 5: Solve for x
    x = 1,438,481,200,689/777,438
  6. Step 6: Final answer
    x = 1,850,284.14

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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.