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Finding the Third Proportional to 903,741,494 and 1,396,511,058

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Solution

The third proportional to 903,741,494 and 1,396,511,058 is: 2,157,965,688.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,741,494 : 1,396,511,058 = 1,396,511,058 : x
  2. Step 2: Convert to fraction form
    903,741,494/1,396,511,058 = 1,396,511,058/x
  3. Step 3: Cross multiply
    903,741,494x = 1,396,511,058 × 1,396,511,058
  4. Step 4: Simplify right side
    903,741,494x = 1,950,243,135,116,279,296
  5. Step 5: Solve for x
    x = 1,950,243,135,116,279,296/903,741,494
  6. Step 6: Final answer
    x = 2,157,965,688.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.