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Finding the Third Proportional to 490,754 and 1,058,836

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Solution

The third proportional to 490,754 and 1,058,836 is: 2,284,512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,754 : 1,058,836 = 1,058,836 : x
  2. Step 2: Convert to fraction form
    490,754/1,058,836 = 1,058,836/x
  3. Step 3: Cross multiply
    490,754x = 1,058,836 × 1,058,836
  4. Step 4: Simplify right side
    490,754x = 1,121,133,674,896
  5. Step 5: Solve for x
    x = 1,121,133,674,896/490,754
  6. Step 6: Final answer
    x = 2,284,512.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.