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Finding the Third Proportional to 902,927 and 1,880,589

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Solution

The third proportional to 902,927 and 1,880,589 is: 3,916,833.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,927 : 1,880,589 = 1,880,589 : x
  2. Step 2: Convert to fraction form
    902,927/1,880,589 = 1,880,589/x
  3. Step 3: Cross multiply
    902,927x = 1,880,589 × 1,880,589
  4. Step 4: Simplify right side
    902,927x = 3,536,614,986,921
  5. Step 5: Solve for x
    x = 3,536,614,986,921/902,927
  6. Step 6: Final answer
    x = 3,916,833.79

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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.