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Finding the Third Proportional to 814,434 and 1,755,078

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Solution

The third proportional to 814,434 and 1,755,078 is: 3,782,134.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,434 : 1,755,078 = 1,755,078 : x
  2. Step 2: Convert to fraction form
    814,434/1,755,078 = 1,755,078/x
  3. Step 3: Cross multiply
    814,434x = 1,755,078 × 1,755,078
  4. Step 4: Simplify right side
    814,434x = 3,080,298,786,084
  5. Step 5: Solve for x
    x = 3,080,298,786,084/814,434
  6. Step 6: Final answer
    x = 3,782,134.32

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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.