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Finding the Third Proportional to 2,381,376 and 5,209,848

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Solution

The third proportional to 2,381,376 and 5,209,848 is: 11,397,828.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381,376 : 5,209,848 = 5,209,848 : x
  2. Step 2: Convert to fraction form
    2,381,376/5,209,848 = 5,209,848/x
  3. Step 3: Cross multiply
    2,381,376x = 5,209,848 × 5,209,848
  4. Step 4: Simplify right side
    2,381,376x = 27,142,516,183,104
  5. Step 5: Solve for x
    x = 27,142,516,183,104/2,381,376
  6. Step 6: Final answer
    x = 11,397,828.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.