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Finding the Third Proportional to 1,685,299 and 2,384,647

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Solution

The third proportional to 1,685,299 and 2,384,647 is: 3,374,203.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685,299 : 2,384,647 = 2,384,647 : x
  2. Step 2: Convert to fraction form
    1,685,299/2,384,647 = 2,384,647/x
  3. Step 3: Cross multiply
    1,685,299x = 2,384,647 × 2,384,647
  4. Step 4: Simplify right side
    1,685,299x = 5,686,541,314,609
  5. Step 5: Solve for x
    x = 5,686,541,314,609/1,685,299
  6. Step 6: Final answer
    x = 3,374,203.22

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