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Finding the Third Proportional to 1,097,190 and 2,381,349

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Solution

The third proportional to 1,097,190 and 2,381,349 is: 5,168,496.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,190 : 2,381,349 = 2,381,349 : x
  2. Step 2: Convert to fraction form
    1,097,190/2,381,349 = 2,381,349/x
  3. Step 3: Cross multiply
    1,097,190x = 2,381,349 × 2,381,349
  4. Step 4: Simplify right side
    1,097,190x = 5,670,823,059,801
  5. Step 5: Solve for x
    x = 5,670,823,059,801/1,097,190
  6. Step 6: Final answer
    x = 5,168,496.85

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