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Finding the Third Proportional to 492,814 and 1,008,956

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Solution

The third proportional to 492,814 and 1,008,956 is: 2,065,672.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,814 : 1,008,956 = 1,008,956 : x
  2. Step 2: Convert to fraction form
    492,814/1,008,956 = 1,008,956/x
  3. Step 3: Cross multiply
    492,814x = 1,008,956 × 1,008,956
  4. Step 4: Simplify right side
    492,814x = 1,017,992,209,936
  5. Step 5: Solve for x
    x = 1,017,992,209,936/492,814
  6. Step 6: Final answer
    x = 2,065,672.26

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.