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Finding the Third Proportional to 743,049 and 1,180,869

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Solution

The third proportional to 743,049 and 1,180,869 is: 1,876,661.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,049 : 1,180,869 = 1,180,869 : x
  2. Step 2: Convert to fraction form
    743,049/1,180,869 = 1,180,869/x
  3. Step 3: Cross multiply
    743,049x = 1,180,869 × 1,180,869
  4. Step 4: Simplify right side
    743,049x = 1,394,451,595,161
  5. Step 5: Solve for x
    x = 1,394,451,595,161/743,049
  6. Step 6: Final answer
    x = 1,876,661.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.