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Finding the Third Proportional to 683,832 and 1,483,575

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Solution

The third proportional to 683,832 and 1,483,575 is: 3,218,619.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,832 : 1,483,575 = 1,483,575 : x
  2. Step 2: Convert to fraction form
    683,832/1,483,575 = 1,483,575/x
  3. Step 3: Cross multiply
    683,832x = 1,483,575 × 1,483,575
  4. Step 4: Simplify right side
    683,832x = 2,200,994,780,625
  5. Step 5: Solve for x
    x = 2,200,994,780,625/683,832
  6. Step 6: Final answer
    x = 3,218,619.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.