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Finding the Third Proportional to 787,976 and 1,741,840

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Solution

The third proportional to 787,976 and 1,741,840 is: 3,850,379.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,976 : 1,741,840 = 1,741,840 : x
  2. Step 2: Convert to fraction form
    787,976/1,741,840 = 1,741,840/x
  3. Step 3: Cross multiply
    787,976x = 1,741,840 × 1,741,840
  4. Step 4: Simplify right side
    787,976x = 3,034,006,585,600
  5. Step 5: Solve for x
    x = 3,034,006,585,600/787,976
  6. Step 6: Final answer
    x = 3,850,379.43

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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.