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Finding the Third Proportional to 422,705 and 996,830

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Solution

The third proportional to 422,705 and 996,830 is: 2,350,741.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,705 : 996,830 = 996,830 : x
  2. Step 2: Convert to fraction form
    422,705/996,830 = 996,830/x
  3. Step 3: Cross multiply
    422,705x = 996,830 × 996,830
  4. Step 4: Simplify right side
    422,705x = 993,670,048,900
  5. Step 5: Solve for x
    x = 993,670,048,900/422,705
  6. Step 6: Final answer
    x = 2,350,741.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.