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Finding the Third Proportional to 982,872 and 1,562,832

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Solution

The third proportional to 982,872 and 1,562,832 is: 2,485,007.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,872 : 1,562,832 = 1,562,832 : x
  2. Step 2: Convert to fraction form
    982,872/1,562,832 = 1,562,832/x
  3. Step 3: Cross multiply
    982,872x = 1,562,832 × 1,562,832
  4. Step 4: Simplify right side
    982,872x = 2,442,443,860,224
  5. Step 5: Solve for x
    x = 2,442,443,860,224/982,872
  6. Step 6: Final answer
    x = 2,485,007.06

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.