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Finding the Third Proportional to 465,081 and 1,021,638

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Solution

The third proportional to 465,081 and 1,021,638 is: 2,244,220.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,081 : 1,021,638 = 1,021,638 : x
  2. Step 2: Convert to fraction form
    465,081/1,021,638 = 1,021,638/x
  3. Step 3: Cross multiply
    465,081x = 1,021,638 × 1,021,638
  4. Step 4: Simplify right side
    465,081x = 1,043,744,203,044
  5. Step 5: Solve for x
    x = 1,043,744,203,044/465,081
  6. Step 6: Final answer
    x = 2,244,220.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.