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Finding the Third Proportional to 442,616 and 949,739

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Solution

The third proportional to 442,616 and 949,739 is: 2,037,893.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,616 : 949,739 = 949,739 : x
  2. Step 2: Convert to fraction form
    442,616/949,739 = 949,739/x
  3. Step 3: Cross multiply
    442,616x = 949,739 × 949,739
  4. Step 4: Simplify right side
    442,616x = 902,004,168,121
  5. Step 5: Solve for x
    x = 902,004,168,121/442,616
  6. Step 6: Final answer
    x = 2,037,893.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.