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Finding the Third Proportional to 401,760 and 874,956

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Solution

The third proportional to 401,760 and 874,956 is: 1,905,485.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,760 : 874,956 = 874,956 : x
  2. Step 2: Convert to fraction form
    401,760/874,956 = 874,956/x
  3. Step 3: Cross multiply
    401,760x = 874,956 × 874,956
  4. Step 4: Simplify right side
    401,760x = 765,548,001,936
  5. Step 5: Solve for x
    x = 765,548,001,936/401,760
  6. Step 6: Final answer
    x = 1,905,485.87

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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.