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Finding the Third Proportional to 851,256 and 1,844,208

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Solution

The third proportional to 851,256 and 1,844,208 is: 3,995,394.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,256 : 1,844,208 = 1,844,208 : x
  2. Step 2: Convert to fraction form
    851,256/1,844,208 = 1,844,208/x
  3. Step 3: Cross multiply
    851,256x = 1,844,208 × 1,844,208
  4. Step 4: Simplify right side
    851,256x = 3,401,103,147,264
  5. Step 5: Solve for x
    x = 3,401,103,147,264/851,256
  6. Step 6: Final answer
    x = 3,995,394.04

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.