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Finding the Third Proportional to 491,183 and 1,085,602

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Solution

The third proportional to 491,183 and 1,085,602 is: 2,399,373.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,183 : 1,085,602 = 1,085,602 : x
  2. Step 2: Convert to fraction form
    491,183/1,085,602 = 1,085,602/x
  3. Step 3: Cross multiply
    491,183x = 1,085,602 × 1,085,602
  4. Step 4: Simplify right side
    491,183x = 1,178,531,702,404
  5. Step 5: Solve for x
    x = 1,178,531,702,404/491,183
  6. Step 6: Final answer
    x = 2,399,373.97

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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.