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Finding the Third Proportional to 902,917 and 1,880,569

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Solution

The third proportional to 902,917 and 1,880,569 is: 3,916,793.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,917 : 1,880,569 = 1,880,569 : x
  2. Step 2: Convert to fraction form
    902,917/1,880,569 = 1,880,569/x
  3. Step 3: Cross multiply
    902,917x = 1,880,569 × 1,880,569
  4. Step 4: Simplify right side
    902,917x = 3,536,539,763,761
  5. Step 5: Solve for x
    x = 3,536,539,763,761/902,917
  6. Step 6: Final answer
    x = 3,916,793.86

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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.