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Finding the Third Proportional to 2,380,187 and 5,232,706

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Solution

The third proportional to 2,380,187 and 5,232,706 is: 11,503,807.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380,187 : 5,232,706 = 5,232,706 : x
  2. Step 2: Convert to fraction form
    2,380,187/5,232,706 = 5,232,706/x
  3. Step 3: Cross multiply
    2,380,187x = 5,232,706 × 5,232,706
  4. Step 4: Simplify right side
    2,380,187x = 27,381,212,082,436
  5. Step 5: Solve for x
    x = 27,381,212,082,436/2,380,187
  6. Step 6: Final answer
    x = 11,503,807.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.