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Finding the Third Proportional to 2,609,584 and 3,674,899

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Solution

The third proportional to 2,609,584 and 3,674,899 is: 5,175,109.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609,584 : 3,674,899 = 3,674,899 : x
  2. Step 2: Convert to fraction form
    2,609,584/3,674,899 = 3,674,899/x
  3. Step 3: Cross multiply
    2,609,584x = 3,674,899 × 3,674,899
  4. Step 4: Simplify right side
    2,609,584x = 13,504,882,660,201
  5. Step 5: Solve for x
    x = 13,504,882,660,201/2,609,584
  6. Step 6: Final answer
    x = 5,175,109.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.