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Finding the Third Proportional to 438,928 and 1,025,608

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Solution

The third proportional to 438,928 and 1,025,608 is: 2,396,456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,928 : 1,025,608 = 1,025,608 : x
  2. Step 2: Convert to fraction form
    438,928/1,025,608 = 1,025,608/x
  3. Step 3: Cross multiply
    438,928x = 1,025,608 × 1,025,608
  4. Step 4: Simplify right side
    438,928x = 1,051,871,769,664
  5. Step 5: Solve for x
    x = 1,051,871,769,664/438,928
  6. Step 6: Final answer
    x = 2,396,456.30

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.