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Finding the Third Proportional to 459,153 and 996,956

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Solution

The third proportional to 459,153 and 996,956 is: 2,164,684.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,153 : 996,956 = 996,956 : x
  2. Step 2: Convert to fraction form
    459,153/996,956 = 996,956/x
  3. Step 3: Cross multiply
    459,153x = 996,956 × 996,956
  4. Step 4: Simplify right side
    459,153x = 993,921,265,936
  5. Step 5: Solve for x
    x = 993,921,265,936/459,153
  6. Step 6: Final answer
    x = 2,164,684.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.