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Finding the Third Proportional to 624,544 and 1,362,027

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Solution

The third proportional to 624,544 and 1,362,027 is: 2,970,355.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,544 : 1,362,027 = 1,362,027 : x
  2. Step 2: Convert to fraction form
    624,544/1,362,027 = 1,362,027/x
  3. Step 3: Cross multiply
    624,544x = 1,362,027 × 1,362,027
  4. Step 4: Simplify right side
    624,544x = 1,855,117,548,729
  5. Step 5: Solve for x
    x = 1,855,117,548,729/624,544
  6. Step 6: Final answer
    x = 2,970,355.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.