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Finding the Third Proportional to 638,500 and 1,396,664

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Solution

The third proportional to 638,500 and 1,396,664 is: 3,055,082.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,500 : 1,396,664 = 1,396,664 : x
  2. Step 2: Convert to fraction form
    638,500/1,396,664 = 1,396,664/x
  3. Step 3: Cross multiply
    638,500x = 1,396,664 × 1,396,664
  4. Step 4: Simplify right side
    638,500x = 1,950,670,328,896
  5. Step 5: Solve for x
    x = 1,950,670,328,896/638,500
  6. Step 6: Final answer
    x = 3,055,082.74

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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.