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Finding the Third Proportional to 449,606 and 962,986

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Solution

The third proportional to 449,606 and 962,986 is: 2,062,565.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,606 : 962,986 = 962,986 : x
  2. Step 2: Convert to fraction form
    449,606/962,986 = 962,986/x
  3. Step 3: Cross multiply
    449,606x = 962,986 × 962,986
  4. Step 4: Simplify right side
    449,606x = 927,342,036,196
  5. Step 5: Solve for x
    x = 927,342,036,196/449,606
  6. Step 6: Final answer
    x = 2,062,565.97

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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.