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Finding the Third Proportional to 672,022 and 1,476,903

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Solution

The third proportional to 672,022 and 1,476,903 is: 3,245,790.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,022 : 1,476,903 = 1,476,903 : x
  2. Step 2: Convert to fraction form
    672,022/1,476,903 = 1,476,903/x
  3. Step 3: Cross multiply
    672,022x = 1,476,903 × 1,476,903
  4. Step 4: Simplify right side
    672,022x = 2,181,242,471,409
  5. Step 5: Solve for x
    x = 2,181,242,471,409/672,022
  6. Step 6: Final answer
    x = 3,245,790.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.