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Finding the Third Proportional to 508,381 and 1,058,869

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Solution

The third proportional to 508,381 and 1,058,869 is: 2,205,439.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,381 : 1,058,869 = 1,058,869 : x
  2. Step 2: Convert to fraction form
    508,381/1,058,869 = 1,058,869/x
  3. Step 3: Cross multiply
    508,381x = 1,058,869 × 1,058,869
  4. Step 4: Simplify right side
    508,381x = 1,121,203,559,161
  5. Step 5: Solve for x
    x = 1,121,203,559,161/508,381
  6. Step 6: Final answer
    x = 2,205,439.54

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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.