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Finding the Third Proportional to 663,216 and 1,421,067

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Solution

The third proportional to 663,216 and 1,421,067 is: 3,044,907.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,216 : 1,421,067 = 1,421,067 : x
  2. Step 2: Convert to fraction form
    663,216/1,421,067 = 1,421,067/x
  3. Step 3: Cross multiply
    663,216x = 1,421,067 × 1,421,067
  4. Step 4: Simplify right side
    663,216x = 2,019,431,418,489
  5. Step 5: Solve for x
    x = 2,019,431,418,489/663,216
  6. Step 6: Final answer
    x = 3,044,907.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.