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Finding the Third Proportional to 481,938 and 1,046,957

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Solution

The third proportional to 481,938 and 1,046,957 is: 2,274,398.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,938 : 1,046,957 = 1,046,957 : x
  2. Step 2: Convert to fraction form
    481,938/1,046,957 = 1,046,957/x
  3. Step 3: Cross multiply
    481,938x = 1,046,957 × 1,046,957
  4. Step 4: Simplify right side
    481,938x = 1,096,118,959,849
  5. Step 5: Solve for x
    x = 1,096,118,959,849/481,938
  6. Step 6: Final answer
    x = 2,274,398.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.