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Finding the Third Proportional to 437,686 and 952,058

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Solution

The third proportional to 437,686 and 952,058 is: 2,070,923.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,686 : 952,058 = 952,058 : x
  2. Step 2: Convert to fraction form
    437,686/952,058 = 952,058/x
  3. Step 3: Cross multiply
    437,686x = 952,058 × 952,058
  4. Step 4: Simplify right side
    437,686x = 906,414,435,364
  5. Step 5: Solve for x
    x = 906,414,435,364/437,686
  6. Step 6: Final answer
    x = 2,070,923.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.