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Finding the Third Proportional to 902,954 and 1,880,638

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Solution

The third proportional to 902,954 and 1,880,638 is: 3,916,920.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,954 : 1,880,638 = 1,880,638 : x
  2. Step 2: Convert to fraction form
    902,954/1,880,638 = 1,880,638/x
  3. Step 3: Cross multiply
    902,954x = 1,880,638 × 1,880,638
  4. Step 4: Simplify right side
    902,954x = 3,536,799,287,044
  5. Step 5: Solve for x
    x = 3,536,799,287,044/902,954
  6. Step 6: Final answer
    x = 3,916,920.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.