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Finding the Third Proportional to 491,832 and 737,748

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Solution

The third proportional to 491,832 and 737,748 is: 1,106,622

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,832 : 737,748 = 737,748 : x
  2. Step 2: Convert to fraction form
    491,832/737,748 = 737,748/x
  3. Step 3: Cross multiply
    491,832x = 737,748 × 737,748
  4. Step 4: Simplify right side
    491,832x = 544,272,111,504
  5. Step 5: Solve for x
    x = 544,272,111,504/491,832
  6. Step 6: Final answer
    x = 1,106,622

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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.