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Finding the Third Proportional to 938,181 and 2,048,406

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Solution

The third proportional to 938,181 and 2,048,406 is: 4,472,449.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,181 : 2,048,406 = 2,048,406 : x
  2. Step 2: Convert to fraction form
    938,181/2,048,406 = 2,048,406/x
  3. Step 3: Cross multiply
    938,181x = 2,048,406 × 2,048,406
  4. Step 4: Simplify right side
    938,181x = 4,195,967,140,836
  5. Step 5: Solve for x
    x = 4,195,967,140,836/938,181
  6. Step 6: Final answer
    x = 4,472,449.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.