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Finding the Third Proportional to 853,698 and 1,278,309

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Solution

The third proportional to 853,698 and 1,278,309 is: 1,914,112.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,698 : 1,278,309 = 1,278,309 : x
  2. Step 2: Convert to fraction form
    853,698/1,278,309 = 1,278,309/x
  3. Step 3: Cross multiply
    853,698x = 1,278,309 × 1,278,309
  4. Step 4: Simplify right side
    853,698x = 1,634,073,899,481
  5. Step 5: Solve for x
    x = 1,634,073,899,481/853,698
  6. Step 6: Final answer
    x = 1,914,112.37

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