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Finding the Third Proportional to 1,184,634 and 2,558,400

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Solution

The third proportional to 1,184,634 and 2,558,400 is: 5,525,259.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184,634 : 2,558,400 = 2,558,400 : x
  2. Step 2: Convert to fraction form
    1,184,634/2,558,400 = 2,558,400/x
  3. Step 3: Cross multiply
    1,184,634x = 2,558,400 × 2,558,400
  4. Step 4: Simplify right side
    1,184,634x = 6,545,410,560,000
  5. Step 5: Solve for x
    x = 6,545,410,560,000/1,184,634
  6. Step 6: Final answer
    x = 5,525,259.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.