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Finding the Third Proportional to 663,212 and 1,420,978

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Solution

The third proportional to 663,212 and 1,420,978 is: 3,044,544.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,212 : 1,420,978 = 1,420,978 : x
  2. Step 2: Convert to fraction form
    663,212/1,420,978 = 1,420,978/x
  3. Step 3: Cross multiply
    663,212x = 1,420,978 × 1,420,978
  4. Step 4: Simplify right side
    663,212x = 2,019,178,476,484
  5. Step 5: Solve for x
    x = 2,019,178,476,484/663,212
  6. Step 6: Final answer
    x = 3,044,544.54

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