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Finding the Third Proportional to 772,596.84 and 1,135,771.31

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Solution

The third proportional to 772,596.84 and 1,135,771.31 is: 1,669,663.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,596.84 : 1,135,771.31 = 1,135,771.31 : x
  2. Step 2: Convert to fraction form
    772,596.84/1,135,771.31 = 1,135,771.31/x
  3. Step 3: Cross multiply
    772,596.84x = 1,135,771.31 × 1,135,771.31
  4. Step 4: Simplify right side
    772,596.84x = 1,289,976,474,297.97
  5. Step 5: Solve for x
    x = 1,289,976,474,297.97/772,596.84
  6. Step 6: Final answer
    x = 1,669,663.14

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.