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Finding the Third Proportional to 1,267,418 and 2,818,201

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Solution

The third proportional to 1,267,418 and 2,818,201 is: 6,266,485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267,418 : 2,818,201 = 2,818,201 : x
  2. Step 2: Convert to fraction form
    1,267,418/2,818,201 = 2,818,201/x
  3. Step 3: Cross multiply
    1,267,418x = 2,818,201 × 2,818,201
  4. Step 4: Simplify right side
    1,267,418x = 7,942,256,876,401
  5. Step 5: Solve for x
    x = 7,942,256,876,401/1,267,418
  6. Step 6: Final answer
    x = 6,266,485.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.