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Finding the Third Proportional to 1,203,166 and 2,675,322

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Solution

The third proportional to 1,203,166 and 2,675,322 is: 5,948,761.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203,166 : 2,675,322 = 2,675,322 : x
  2. Step 2: Convert to fraction form
    1,203,166/2,675,322 = 2,675,322/x
  3. Step 3: Cross multiply
    1,203,166x = 2,675,322 × 2,675,322
  4. Step 4: Simplify right side
    1,203,166x = 7,157,347,803,684
  5. Step 5: Solve for x
    x = 7,157,347,803,684/1,203,166
  6. Step 6: Final answer
    x = 5,948,761.69

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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.