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Finding the Third Proportional to 451,701 and 891,978

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Solution

The third proportional to 451,701 and 891,978 is: 1,761,396.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,701 : 891,978 = 891,978 : x
  2. Step 2: Convert to fraction form
    451,701/891,978 = 891,978/x
  3. Step 3: Cross multiply
    451,701x = 891,978 × 891,978
  4. Step 4: Simplify right side
    451,701x = 795,624,752,484
  5. Step 5: Solve for x
    x = 795,624,752,484/451,701
  6. Step 6: Final answer
    x = 1,761,396.93

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.