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Finding the Third Proportional to 902,930 and 1,880,593

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Solution

The third proportional to 902,930 and 1,880,593 is: 3,916,837.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,930 : 1,880,593 = 1,880,593 : x
  2. Step 2: Convert to fraction form
    902,930/1,880,593 = 1,880,593/x
  3. Step 3: Cross multiply
    902,930x = 1,880,593 × 1,880,593
  4. Step 4: Simplify right side
    902,930x = 3,536,630,031,649
  5. Step 5: Solve for x
    x = 3,536,630,031,649/902,930
  6. Step 6: Final answer
    x = 3,916,837.44

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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.