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Finding the Third Proportional to 814,438 and 1,755,086

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Solution

The third proportional to 814,438 and 1,755,086 is: 3,782,150.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,438 : 1,755,086 = 1,755,086 : x
  2. Step 2: Convert to fraction form
    814,438/1,755,086 = 1,755,086/x
  3. Step 3: Cross multiply
    814,438x = 1,755,086 × 1,755,086
  4. Step 4: Simplify right side
    814,438x = 3,080,326,867,396
  5. Step 5: Solve for x
    x = 3,080,326,867,396/814,438
  6. Step 6: Final answer
    x = 3,782,150.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.