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Finding the Third Proportional to 490,594 and 1,086,110

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Solution

The third proportional to 490,594 and 1,086,110 is: 2,404,503.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,594 : 1,086,110 = 1,086,110 : x
  2. Step 2: Convert to fraction form
    490,594/1,086,110 = 1,086,110/x
  3. Step 3: Cross multiply
    490,594x = 1,086,110 × 1,086,110
  4. Step 4: Simplify right side
    490,594x = 1,179,634,932,100
  5. Step 5: Solve for x
    x = 1,179,634,932,100/490,594
  6. Step 6: Final answer
    x = 2,404,503.38

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.