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Finding the Third Proportional to 699,589 and 1,483,251

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Solution

The third proportional to 699,589 and 1,483,251 is: 3,144,751.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,589 : 1,483,251 = 1,483,251 : x
  2. Step 2: Convert to fraction form
    699,589/1,483,251 = 1,483,251/x
  3. Step 3: Cross multiply
    699,589x = 1,483,251 × 1,483,251
  4. Step 4: Simplify right side
    699,589x = 2,200,033,529,001
  5. Step 5: Solve for x
    x = 2,200,033,529,001/699,589
  6. Step 6: Final answer
    x = 3,144,751.46

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Why These Related Problems?

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