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Finding the Third Proportional to 638,503 and 1,396,670

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Solution

The third proportional to 638,503 and 1,396,670 is: 3,055,094.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,503 : 1,396,670 = 1,396,670 : x
  2. Step 2: Convert to fraction form
    638,503/1,396,670 = 1,396,670/x
  3. Step 3: Cross multiply
    638,503x = 1,396,670 × 1,396,670
  4. Step 4: Simplify right side
    638,503x = 1,950,687,088,900
  5. Step 5: Solve for x
    x = 1,950,687,088,900/638,503
  6. Step 6: Final answer
    x = 3,055,094.63

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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.