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Finding the Third Proportional to 377,637.19 and 821,679.19

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Solution

The third proportional to 377,637.19 and 821,679.19 is: 1,787,844.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,637.19 : 821,679.19 = 821,679.19 : x
  2. Step 2: Convert to fraction form
    377,637.19/821,679.19 = 821,679.19/x
  3. Step 3: Cross multiply
    377,637.19x = 821,679.19 × 821,679.19
  4. Step 4: Simplify right side
    377,637.19x = 675,156,687,170.66
  5. Step 5: Solve for x
    x = 675,156,687,170.66/377,637.19
  6. Step 6: Final answer
    x = 1,787,844.81

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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.