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Finding the Third Proportional to 791,324 and 1,676,824

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Solution

The third proportional to 791,324 and 1,676,824 is: 3,553,207.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,324 : 1,676,824 = 1,676,824 : x
  2. Step 2: Convert to fraction form
    791,324/1,676,824 = 1,676,824/x
  3. Step 3: Cross multiply
    791,324x = 1,676,824 × 1,676,824
  4. Step 4: Simplify right side
    791,324x = 2,811,738,726,976
  5. Step 5: Solve for x
    x = 2,811,738,726,976/791,324
  6. Step 6: Final answer
    x = 3,553,207.95

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.