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Finding the Third Proportional to 682,144 and 1,059,179

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Solution

The third proportional to 682,144 and 1,059,179 is: 1,644,608.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,144 : 1,059,179 = 1,059,179 : x
  2. Step 2: Convert to fraction form
    682,144/1,059,179 = 1,059,179/x
  3. Step 3: Cross multiply
    682,144x = 1,059,179 × 1,059,179
  4. Step 4: Simplify right side
    682,144x = 1,121,860,154,041
  5. Step 5: Solve for x
    x = 1,121,860,154,041/682,144
  6. Step 6: Final answer
    x = 1,644,608.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.