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Finding the Third Proportional to 678,954 and 1,020,132

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Solution

The third proportional to 678,954 and 1,020,132 is: 1,532,753.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,954 : 1,020,132 = 1,020,132 : x
  2. Step 2: Convert to fraction form
    678,954/1,020,132 = 1,020,132/x
  3. Step 3: Cross multiply
    678,954x = 1,020,132 × 1,020,132
  4. Step 4: Simplify right side
    678,954x = 1,040,669,297,424
  5. Step 5: Solve for x
    x = 1,040,669,297,424/678,954
  6. Step 6: Final answer
    x = 1,532,753.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.