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Finding the Third Proportional to 678,002 and 1,504,692

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Solution

The third proportional to 678,002 and 1,504,692 is: 3,339,367.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,002 : 1,504,692 = 1,504,692 : x
  2. Step 2: Convert to fraction form
    678,002/1,504,692 = 1,504,692/x
  3. Step 3: Cross multiply
    678,002x = 1,504,692 × 1,504,692
  4. Step 4: Simplify right side
    678,002x = 2,264,098,014,864
  5. Step 5: Solve for x
    x = 2,264,098,014,864/678,002
  6. Step 6: Final answer
    x = 3,339,367.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.