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Finding the Third Proportional to 467,814 and 1,010,296

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Solution

The third proportional to 467,814 and 1,010,296 is: 2,181,845.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,814 : 1,010,296 = 1,010,296 : x
  2. Step 2: Convert to fraction form
    467,814/1,010,296 = 1,010,296/x
  3. Step 3: Cross multiply
    467,814x = 1,010,296 × 1,010,296
  4. Step 4: Simplify right side
    467,814x = 1,020,698,007,616
  5. Step 5: Solve for x
    x = 1,020,698,007,616/467,814
  6. Step 6: Final answer
    x = 2,181,845.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.