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Finding the Third Proportional to 377,042 and 821,823

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Solution

The third proportional to 377,042 and 821,823 is: 1,791,293.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,042 : 821,823 = 821,823 : x
  2. Step 2: Convert to fraction form
    377,042/821,823 = 821,823/x
  3. Step 3: Cross multiply
    377,042x = 821,823 × 821,823
  4. Step 4: Simplify right side
    377,042x = 675,393,043,329
  5. Step 5: Solve for x
    x = 675,393,043,329/377,042
  6. Step 6: Final answer
    x = 1,791,293.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.