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Finding the Third Proportional to 851,269 and 1,806,299

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Solution

The third proportional to 851,269 and 1,806,299 is: 3,832,767.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,269 : 1,806,299 = 1,806,299 : x
  2. Step 2: Convert to fraction form
    851,269/1,806,299 = 1,806,299/x
  3. Step 3: Cross multiply
    851,269x = 1,806,299 × 1,806,299
  4. Step 4: Simplify right side
    851,269x = 3,262,716,077,401
  5. Step 5: Solve for x
    x = 3,262,716,077,401/851,269
  6. Step 6: Final answer
    x = 3,832,767.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.