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Finding the Third Proportional to 1,200,211 and 2,606,481

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Solution

The third proportional to 1,200,211 and 2,606,481 is: 5,660,457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,211 : 2,606,481 = 2,606,481 : x
  2. Step 2: Convert to fraction form
    1,200,211/2,606,481 = 2,606,481/x
  3. Step 3: Cross multiply
    1,200,211x = 2,606,481 × 2,606,481
  4. Step 4: Simplify right side
    1,200,211x = 6,793,743,203,361
  5. Step 5: Solve for x
    x = 6,793,743,203,361/1,200,211
  6. Step 6: Final answer
    x = 5,660,457.37

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Why These Related Problems?

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