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Finding the Third Proportional to 494,493 and 1,058,970

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Solution

The third proportional to 494,493 and 1,058,970 is: 2,267,812.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,493 : 1,058,970 = 1,058,970 : x
  2. Step 2: Convert to fraction form
    494,493/1,058,970 = 1,058,970/x
  3. Step 3: Cross multiply
    494,493x = 1,058,970 × 1,058,970
  4. Step 4: Simplify right side
    494,493x = 1,121,417,460,900
  5. Step 5: Solve for x
    x = 1,121,417,460,900/494,493
  6. Step 6: Final answer
    x = 2,267,812.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.