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Finding the Third Proportional to 827,176 and 1,786,400

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Solution

The third proportional to 827,176 and 1,786,400 is: 3,857,975.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,176 : 1,786,400 = 1,786,400 : x
  2. Step 2: Convert to fraction form
    827,176/1,786,400 = 1,786,400/x
  3. Step 3: Cross multiply
    827,176x = 1,786,400 × 1,786,400
  4. Step 4: Simplify right side
    827,176x = 3,191,224,960,000
  5. Step 5: Solve for x
    x = 3,191,224,960,000/827,176
  6. Step 6: Final answer
    x = 3,857,975.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.