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Finding the Third Proportional to 373,996 and 822,768

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Solution

The third proportional to 373,996 and 822,768 is: 1,810,038.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,996 : 822,768 = 822,768 : x
  2. Step 2: Convert to fraction form
    373,996/822,768 = 822,768/x
  3. Step 3: Cross multiply
    373,996x = 822,768 × 822,768
  4. Step 4: Simplify right side
    373,996x = 676,947,181,824
  5. Step 5: Solve for x
    x = 676,947,181,824/373,996
  6. Step 6: Final answer
    x = 1,810,038.56

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Why These Related Problems?

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