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Finding the Third Proportional to 492,181 and 1,052,609

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Solution

The third proportional to 492,181 and 1,052,609 is: 2,251,175.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,181 : 1,052,609 = 1,052,609 : x
  2. Step 2: Convert to fraction form
    492,181/1,052,609 = 1,052,609/x
  3. Step 3: Cross multiply
    492,181x = 1,052,609 × 1,052,609
  4. Step 4: Simplify right side
    492,181x = 1,107,985,706,881
  5. Step 5: Solve for x
    x = 1,107,985,706,881/492,181
  6. Step 6: Final answer
    x = 2,251,175.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.