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Finding the Third Proportional to 639,821 and 1,400,170

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Solution

The third proportional to 639,821 and 1,400,170 is: 3,064,100.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,821 : 1,400,170 = 1,400,170 : x
  2. Step 2: Convert to fraction form
    639,821/1,400,170 = 1,400,170/x
  3. Step 3: Cross multiply
    639,821x = 1,400,170 × 1,400,170
  4. Step 4: Simplify right side
    639,821x = 1,960,476,028,900
  5. Step 5: Solve for x
    x = 1,960,476,028,900/639,821
  6. Step 6: Final answer
    x = 3,064,100.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.