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Finding the Third Proportional to 777,442 and 1,199,374

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Solution

The third proportional to 777,442 and 1,199,374 is: 1,850,296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,442 : 1,199,374 = 1,199,374 : x
  2. Step 2: Convert to fraction form
    777,442/1,199,374 = 1,199,374/x
  3. Step 3: Cross multiply
    777,442x = 1,199,374 × 1,199,374
  4. Step 4: Simplify right side
    777,442x = 1,438,497,991,876
  5. Step 5: Solve for x
    x = 1,438,497,991,876/777,442
  6. Step 6: Final answer
    x = 1,850,296.22

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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.