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Finding the Third Proportional to 1,156,378 and 2,511,227

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Solution

The third proportional to 1,156,378 and 2,511,227 is: 5,453,459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156,378 : 2,511,227 = 2,511,227 : x
  2. Step 2: Convert to fraction form
    1,156,378/2,511,227 = 2,511,227/x
  3. Step 3: Cross multiply
    1,156,378x = 2,511,227 × 2,511,227
  4. Step 4: Simplify right side
    1,156,378x = 6,306,261,045,529
  5. Step 5: Solve for x
    x = 6,306,261,045,529/1,156,378
  6. Step 6: Final answer
    x = 5,453,459.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.