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Finding the Third Proportional to 1,154,013 and 2,511,204

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Solution

The third proportional to 1,154,013 and 2,511,204 is: 5,464,535.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154,013 : 2,511,204 = 2,511,204 : x
  2. Step 2: Convert to fraction form
    1,154,013/2,511,204 = 2,511,204/x
  3. Step 3: Cross multiply
    1,154,013x = 2,511,204 × 2,511,204
  4. Step 4: Simplify right side
    1,154,013x = 6,306,145,529,616
  5. Step 5: Solve for x
    x = 6,306,145,529,616/1,154,013
  6. Step 6: Final answer
    x = 5,464,535.95

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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.