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Finding the Third Proportional to 437,828 and 950,386

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Solution

The third proportional to 437,828 and 950,386 is: 2,062,987.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,828 : 950,386 = 950,386 : x
  2. Step 2: Convert to fraction form
    437,828/950,386 = 950,386/x
  3. Step 3: Cross multiply
    437,828x = 950,386 × 950,386
  4. Step 4: Simplify right side
    437,828x = 903,233,548,996
  5. Step 5: Solve for x
    x = 903,233,548,996/437,828
  6. Step 6: Final answer
    x = 2,062,987.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.