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Finding the Third Proportional to 482,991 and 1,048,965

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Solution

The third proportional to 482,991 and 1,048,965 is: 2,278,153.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,991 : 1,048,965 = 1,048,965 : x
  2. Step 2: Convert to fraction form
    482,991/1,048,965 = 1,048,965/x
  3. Step 3: Cross multiply
    482,991x = 1,048,965 × 1,048,965
  4. Step 4: Simplify right side
    482,991x = 1,100,327,571,225
  5. Step 5: Solve for x
    x = 1,100,327,571,225/482,991
  6. Step 6: Final answer
    x = 2,278,153.36

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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.