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Finding the Third Proportional to 2,128,002 and 3,184,497

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Solution

The third proportional to 2,128,002 and 3,184,497 is: 4,765,512.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128,002 : 3,184,497 = 3,184,497 : x
  2. Step 2: Convert to fraction form
    2,128,002/3,184,497 = 3,184,497/x
  3. Step 3: Cross multiply
    2,128,002x = 3,184,497 × 3,184,497
  4. Step 4: Simplify right side
    2,128,002x = 10,141,021,143,009
  5. Step 5: Solve for x
    x = 10,141,021,143,009/2,128,002
  6. Step 6: Final answer
    x = 4,765,512.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.