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Finding the Third Proportional to 605,284 and 936,636

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Solution

The third proportional to 605,284 and 936,636 is: 1,449,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,284 : 936,636 = 936,636 : x
  2. Step 2: Convert to fraction form
    605,284/936,636 = 936,636/x
  3. Step 3: Cross multiply
    605,284x = 936,636 × 936,636
  4. Step 4: Simplify right side
    605,284x = 877,286,996,496
  5. Step 5: Solve for x
    x = 877,286,996,496/605,284
  6. Step 6: Final answer
    x = 1,449,380.78

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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.