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Finding the Third Proportional to 828,956 and 1,775,524

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Solution

The third proportional to 828,956 and 1,775,524 is: 3,802,958.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,956 : 1,775,524 = 1,775,524 : x
  2. Step 2: Convert to fraction form
    828,956/1,775,524 = 1,775,524/x
  3. Step 3: Cross multiply
    828,956x = 1,775,524 × 1,775,524
  4. Step 4: Simplify right side
    828,956x = 3,152,485,474,576
  5. Step 5: Solve for x
    x = 3,152,485,474,576/828,956
  6. Step 6: Final answer
    x = 3,802,958.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.