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Finding the Third Proportional to 494,439 and 1,058,862

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Solution

The third proportional to 494,439 and 1,058,862 is: 2,267,597.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,439 : 1,058,862 = 1,058,862 : x
  2. Step 2: Convert to fraction form
    494,439/1,058,862 = 1,058,862/x
  3. Step 3: Cross multiply
    494,439x = 1,058,862 × 1,058,862
  4. Step 4: Simplify right side
    494,439x = 1,121,188,735,044
  5. Step 5: Solve for x
    x = 1,121,188,735,044/494,439
  6. Step 6: Final answer
    x = 2,267,597.69

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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.