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Finding the Third Proportional to 373,974 and 822,714

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Solution

The third proportional to 373,974 and 822,714 is: 1,809,907.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,974 : 822,714 = 822,714 : x
  2. Step 2: Convert to fraction form
    373,974/822,714 = 822,714/x
  3. Step 3: Cross multiply
    373,974x = 822,714 × 822,714
  4. Step 4: Simplify right side
    373,974x = 676,858,325,796
  5. Step 5: Solve for x
    x = 676,858,325,796/373,974
  6. Step 6: Final answer
    x = 1,809,907.44

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.