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Finding the Third Proportional to 796,101.75 and 1,191,236.63

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Solution

The third proportional to 796,101.75 and 1,191,236.63 is: 1,782,491.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,101.75 : 1,191,236.63 = 1,191,236.63 : x
  2. Step 2: Convert to fraction form
    796,101.75/1,191,236.63 = 1,191,236.63/x
  3. Step 3: Cross multiply
    796,101.75x = 1,191,236.63 × 1,191,236.63
  4. Step 4: Simplify right side
    796,101.75x = 1,419,044,696,741.39
  5. Step 5: Solve for x
    x = 1,419,044,696,741.39/796,101.75
  6. Step 6: Final answer
    x = 1,782,491.62

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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.