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Finding the Third Proportional to 449,609 and 962,992

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Solution

The third proportional to 449,609 and 962,992 is: 2,062,577.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,609 : 962,992 = 962,992 : x
  2. Step 2: Convert to fraction form
    449,609/962,992 = 962,992/x
  3. Step 3: Cross multiply
    449,609x = 962,992 × 962,992
  4. Step 4: Simplify right side
    449,609x = 927,353,592,064
  5. Step 5: Solve for x
    x = 927,353,592,064/449,609
  6. Step 6: Final answer
    x = 2,062,577.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.