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Finding the Third Proportional to 491,622.75 and 1,072,611

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Solution

The third proportional to 491,622.75 and 1,072,611 is: 2,340,197.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,622.75 : 1,072,611 = 1,072,611 : x
  2. Step 2: Convert to fraction form
    491,622.75/1,072,611 = 1,072,611/x
  3. Step 3: Cross multiply
    491,622.75x = 1,072,611 × 1,072,611
  4. Step 4: Simplify right side
    491,622.75x = 1,150,494,357,321
  5. Step 5: Solve for x
    x = 1,150,494,357,321/491,622.75
  6. Step 6: Final answer
    x = 2,340,197.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.