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Finding the Third Proportional to 518,954 and 1,123,202

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Solution

The third proportional to 518,954 and 1,123,202 is: 2,431,010.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,954 : 1,123,202 = 1,123,202 : x
  2. Step 2: Convert to fraction form
    518,954/1,123,202 = 1,123,202/x
  3. Step 3: Cross multiply
    518,954x = 1,123,202 × 1,123,202
  4. Step 4: Simplify right side
    518,954x = 1,261,582,732,804
  5. Step 5: Solve for x
    x = 1,261,582,732,804/518,954
  6. Step 6: Final answer
    x = 2,431,010.71

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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.