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Finding the Third Proportional to 449,612 and 962,998

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Solution

The third proportional to 449,612 and 962,998 is: 2,062,589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,612 : 962,998 = 962,998 : x
  2. Step 2: Convert to fraction form
    449,612/962,998 = 962,998/x
  3. Step 3: Cross multiply
    449,612x = 962,998 × 962,998
  4. Step 4: Simplify right side
    449,612x = 927,365,148,004
  5. Step 5: Solve for x
    x = 927,365,148,004/449,612
  6. Step 6: Final answer
    x = 2,062,589.85

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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.