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Finding the Third Proportional to 853,194 and 1,278,483

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Solution

The third proportional to 853,194 and 1,278,483 is: 1,915,764.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,194 : 1,278,483 = 1,278,483 : x
  2. Step 2: Convert to fraction form
    853,194/1,278,483 = 1,278,483/x
  3. Step 3: Cross multiply
    853,194x = 1,278,483 × 1,278,483
  4. Step 4: Simplify right side
    853,194x = 1,634,518,781,289
  5. Step 5: Solve for x
    x = 1,634,518,781,289/853,194
  6. Step 6: Final answer
    x = 1,915,764.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.