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Finding the Third Proportional to 403,611 and 856,419

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Solution

The third proportional to 403,611 and 856,419 is: 1,817,228.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,611 : 856,419 = 856,419 : x
  2. Step 2: Convert to fraction form
    403,611/856,419 = 856,419/x
  3. Step 3: Cross multiply
    403,611x = 856,419 × 856,419
  4. Step 4: Simplify right side
    403,611x = 733,453,503,561
  5. Step 5: Solve for x
    x = 733,453,503,561/403,611
  6. Step 6: Final answer
    x = 1,817,228.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.