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Finding the Third Proportional to 522,066 and 1,140,009

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Solution

The third proportional to 522,066 and 1,140,009 is: 2,489,379.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,066 : 1,140,009 = 1,140,009 : x
  2. Step 2: Convert to fraction form
    522,066/1,140,009 = 1,140,009/x
  3. Step 3: Cross multiply
    522,066x = 1,140,009 × 1,140,009
  4. Step 4: Simplify right side
    522,066x = 1,299,620,520,081
  5. Step 5: Solve for x
    x = 1,299,620,520,081/522,066
  6. Step 6: Final answer
    x = 2,489,379.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.