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Finding the Third Proportional to 491,844 and 737,766

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Solution

The third proportional to 491,844 and 737,766 is: 1,106,649

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,844 : 737,766 = 737,766 : x
  2. Step 2: Convert to fraction form
    491,844/737,766 = 737,766/x
  3. Step 3: Cross multiply
    491,844x = 737,766 × 737,766
  4. Step 4: Simplify right side
    491,844x = 544,298,670,756
  5. Step 5: Solve for x
    x = 544,298,670,756/491,844
  6. Step 6: Final answer
    x = 1,106,649

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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.