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Finding the Third Proportional to 1,266,970 and 2,731,976

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Solution

The third proportional to 1,266,970 and 2,731,976 is: 5,890,978.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266,970 : 2,731,976 = 2,731,976 : x
  2. Step 2: Convert to fraction form
    1,266,970/2,731,976 = 2,731,976/x
  3. Step 3: Cross multiply
    1,266,970x = 2,731,976 × 2,731,976
  4. Step 4: Simplify right side
    1,266,970x = 7,463,692,864,576
  5. Step 5: Solve for x
    x = 7,463,692,864,576/1,266,970
  6. Step 6: Final answer
    x = 5,890,978.37

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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.