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Finding the Third Proportional to 950,434 and 2,048,228

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Solution

The third proportional to 950,434 and 2,048,228 is: 4,414,023.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,434 : 2,048,228 = 2,048,228 : x
  2. Step 2: Convert to fraction form
    950,434/2,048,228 = 2,048,228/x
  3. Step 3: Cross multiply
    950,434x = 2,048,228 × 2,048,228
  4. Step 4: Simplify right side
    950,434x = 4,195,237,939,984
  5. Step 5: Solve for x
    x = 4,195,237,939,984/950,434
  6. Step 6: Final answer
    x = 4,414,023.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.