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Finding the Third Proportional to 494,437 and 1,058,856

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Solution

The third proportional to 494,437 and 1,058,856 is: 2,267,581.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,437 : 1,058,856 = 1,058,856 : x
  2. Step 2: Convert to fraction form
    494,437/1,058,856 = 1,058,856/x
  3. Step 3: Cross multiply
    494,437x = 1,058,856 × 1,058,856
  4. Step 4: Simplify right side
    494,437x = 1,121,176,028,736
  5. Step 5: Solve for x
    x = 1,121,176,028,736/494,437
  6. Step 6: Final answer
    x = 2,267,581.17

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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.