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Finding the Third Proportional to 377,322 and 822,036

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Solution

The third proportional to 377,322 and 822,036 is: 1,790,892.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,322 : 822,036 = 822,036 : x
  2. Step 2: Convert to fraction form
    377,322/822,036 = 822,036/x
  3. Step 3: Cross multiply
    377,322x = 822,036 × 822,036
  4. Step 4: Simplify right side
    377,322x = 675,743,185,296
  5. Step 5: Solve for x
    x = 675,743,185,296/377,322
  6. Step 6: Final answer
    x = 1,790,892.62

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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.