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Finding the Third Proportional to 777,141 and 1,198,932

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Solution

The third proportional to 777,141 and 1,198,932 is: 1,849,648.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,141 : 1,198,932 = 1,198,932 : x
  2. Step 2: Convert to fraction form
    777,141/1,198,932 = 1,198,932/x
  3. Step 3: Cross multiply
    777,141x = 1,198,932 × 1,198,932
  4. Step 4: Simplify right side
    777,141x = 1,437,437,940,624
  5. Step 5: Solve for x
    x = 1,437,437,940,624/777,141
  6. Step 6: Final answer
    x = 1,849,648.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.