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Finding the Third Proportional to 605,124 and 936,945

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Solution

The third proportional to 605,124 and 936,945 is: 1,450,720.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,124 : 936,945 = 936,945 : x
  2. Step 2: Convert to fraction form
    605,124/936,945 = 936,945/x
  3. Step 3: Cross multiply
    605,124x = 936,945 × 936,945
  4. Step 4: Simplify right side
    605,124x = 877,865,933,025
  5. Step 5: Solve for x
    x = 877,865,933,025/605,124
  6. Step 6: Final answer
    x = 1,450,720.73

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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.