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Finding the Third Proportional to 491,188 and 1,085,611

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Solution

The third proportional to 491,188 and 1,085,611 is: 2,399,389.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,188 : 1,085,611 = 1,085,611 : x
  2. Step 2: Convert to fraction form
    491,188/1,085,611 = 1,085,611/x
  3. Step 3: Cross multiply
    491,188x = 1,085,611 × 1,085,611
  4. Step 4: Simplify right side
    491,188x = 1,178,551,243,321
  5. Step 5: Solve for x
    x = 1,178,551,243,321/491,188
  6. Step 6: Final answer
    x = 2,399,389.32

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.