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Finding the Third Proportional to 449,454 and 965,611

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Solution

The third proportional to 449,454 and 965,611 is: 2,074,527.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,454 : 965,611 = 965,611 : x
  2. Step 2: Convert to fraction form
    449,454/965,611 = 965,611/x
  3. Step 3: Cross multiply
    449,454x = 965,611 × 965,611
  4. Step 4: Simplify right side
    449,454x = 932,404,603,321
  5. Step 5: Solve for x
    x = 932,404,603,321/449,454
  6. Step 6: Final answer
    x = 2,074,527.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.