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Finding the Third Proportional to 482,222 and 1,037,027

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Solution

The third proportional to 482,222 and 1,037,027 is: 2,230,145.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,222 : 1,037,027 = 1,037,027 : x
  2. Step 2: Convert to fraction form
    482,222/1,037,027 = 1,037,027/x
  3. Step 3: Cross multiply
    482,222x = 1,037,027 × 1,037,027
  4. Step 4: Simplify right side
    482,222x = 1,075,424,998,729
  5. Step 5: Solve for x
    x = 1,075,424,998,729/482,222
  6. Step 6: Final answer
    x = 2,230,145.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.