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Finding the Third Proportional to 483,109 and 1,049,462

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Solution

The third proportional to 483,109 and 1,049,462 is: 2,279,755.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,109 : 1,049,462 = 1,049,462 : x
  2. Step 2: Convert to fraction form
    483,109/1,049,462 = 1,049,462/x
  3. Step 3: Cross multiply
    483,109x = 1,049,462 × 1,049,462
  4. Step 4: Simplify right side
    483,109x = 1,101,370,489,444
  5. Step 5: Solve for x
    x = 1,101,370,489,444/483,109
  6. Step 6: Final answer
    x = 2,279,755.69

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