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Finding the Third Proportional to 492,873 and 1,003,611

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Solution

The third proportional to 492,873 and 1,003,611 is: 2,043,599.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,873 : 1,003,611 = 1,003,611 : x
  2. Step 2: Convert to fraction form
    492,873/1,003,611 = 1,003,611/x
  3. Step 3: Cross multiply
    492,873x = 1,003,611 × 1,003,611
  4. Step 4: Simplify right side
    492,873x = 1,007,235,039,321
  5. Step 5: Solve for x
    x = 1,007,235,039,321/492,873
  6. Step 6: Final answer
    x = 2,043,599.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.