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Finding the Third Proportional to 605,494 and 937,546

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Solution

The third proportional to 605,494 and 937,546 is: 1,451,694.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,494 : 937,546 = 937,546 : x
  2. Step 2: Convert to fraction form
    605,494/937,546 = 937,546/x
  3. Step 3: Cross multiply
    605,494x = 937,546 × 937,546
  4. Step 4: Simplify right side
    605,494x = 878,992,502,116
  5. Step 5: Solve for x
    x = 878,992,502,116/605,494
  6. Step 6: Final answer
    x = 1,451,694.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.