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Finding the Third Proportional to 1,046,034 and 2,257,956

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Solution

The third proportional to 1,046,034 and 2,257,956 is: 4,873,995.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,034 : 2,257,956 = 2,257,956 : x
  2. Step 2: Convert to fraction form
    1,046,034/2,257,956 = 2,257,956/x
  3. Step 3: Cross multiply
    1,046,034x = 2,257,956 × 2,257,956
  4. Step 4: Simplify right side
    1,046,034x = 5,098,365,297,936
  5. Step 5: Solve for x
    x = 5,098,365,297,936/1,046,034
  6. Step 6: Final answer
    x = 4,873,995.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.