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Finding the Third Proportional to 856,271 and 1,882,035

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Solution

The third proportional to 856,271 and 1,882,035 is: 4,136,605.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,271 : 1,882,035 = 1,882,035 : x
  2. Step 2: Convert to fraction form
    856,271/1,882,035 = 1,882,035/x
  3. Step 3: Cross multiply
    856,271x = 1,882,035 × 1,882,035
  4. Step 4: Simplify right side
    856,271x = 3,542,055,741,225
  5. Step 5: Solve for x
    x = 3,542,055,741,225/856,271
  6. Step 6: Final answer
    x = 4,136,605.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.