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Finding the Third Proportional to 449,983 and 950,550

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Solution

The third proportional to 449,983 and 950,550 is: 2,007,954.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,983 : 950,550 = 950,550 : x
  2. Step 2: Convert to fraction form
    449,983/950,550 = 950,550/x
  3. Step 3: Cross multiply
    449,983x = 950,550 × 950,550
  4. Step 4: Simplify right side
    449,983x = 903,545,302,500
  5. Step 5: Solve for x
    x = 903,545,302,500/449,983
  6. Step 6: Final answer
    x = 2,007,954.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.