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Finding the Third Proportional to 2,061,376 and 3,209,849

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Solution

The third proportional to 2,061,376 and 3,209,849 is: 4,998,181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061,376 : 3,209,849 = 3,209,849 : x
  2. Step 2: Convert to fraction form
    2,061,376/3,209,849 = 3,209,849/x
  3. Step 3: Cross multiply
    2,061,376x = 3,209,849 × 3,209,849
  4. Step 4: Simplify right side
    2,061,376x = 10,303,130,602,801
  5. Step 5: Solve for x
    x = 10,303,130,602,801/2,061,376
  6. Step 6: Final answer
    x = 4,998,181.12

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.