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Finding the Third Proportional to 409,932 and 957,449

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Solution

The third proportional to 409,932 and 957,449 is: 2,236,245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,932 : 957,449 = 957,449 : x
  2. Step 2: Convert to fraction form
    409,932/957,449 = 957,449/x
  3. Step 3: Cross multiply
    409,932x = 957,449 × 957,449
  4. Step 4: Simplify right side
    409,932x = 916,708,587,601
  5. Step 5: Solve for x
    x = 916,708,587,601/409,932
  6. Step 6: Final answer
    x = 2,236,245.49

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.