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Finding the Third Proportional to 638,502 and 1,396,668

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Solution

The third proportional to 638,502 and 1,396,668 is: 3,055,090.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,502 : 1,396,668 = 1,396,668 : x
  2. Step 2: Convert to fraction form
    638,502/1,396,668 = 1,396,668/x
  3. Step 3: Cross multiply
    638,502x = 1,396,668 × 1,396,668
  4. Step 4: Simplify right side
    638,502x = 1,950,681,502,224
  5. Step 5: Solve for x
    x = 1,950,681,502,224/638,502
  6. Step 6: Final answer
    x = 3,055,090.67

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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.