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Finding the Third Proportional to 2,669,191 and 4,136,509

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Solution

The third proportional to 2,669,191 and 4,136,509 is: 6,410,446.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669,191 : 4,136,509 = 4,136,509 : x
  2. Step 2: Convert to fraction form
    2,669,191/4,136,509 = 4,136,509/x
  3. Step 3: Cross multiply
    2,669,191x = 4,136,509 × 4,136,509
  4. Step 4: Simplify right side
    2,669,191x = 17,110,706,707,081
  5. Step 5: Solve for x
    x = 17,110,706,707,081/2,669,191
  6. Step 6: Final answer
    x = 6,410,446.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.