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Finding the Third Proportional to 902,912.06 and 1,880,558.44

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Solution

The third proportional to 902,912.06 and 1,880,558.44 is: 3,916,771.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,912.06 : 1,880,558.44 = 1,880,558.44 : x
  2. Step 2: Convert to fraction form
    902,912.06/1,880,558.44 = 1,880,558.44/x
  3. Step 3: Cross multiply
    902,912.06x = 1,880,558.44 × 1,880,558.44
  4. Step 4: Simplify right side
    902,912.06x = 3,536,500,036,852.44
  5. Step 5: Solve for x
    x = 3,536,500,036,852.44/902,912.06
  6. Step 6: Final answer
    x = 3,916,771.28

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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.