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Finding the Third Proportional to 656,026 and 978,976

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Solution

The third proportional to 656,026 and 978,976 is: 1,460,908.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,026 : 978,976 = 978,976 : x
  2. Step 2: Convert to fraction form
    656,026/978,976 = 978,976/x
  3. Step 3: Cross multiply
    656,026x = 978,976 × 978,976
  4. Step 4: Simplify right side
    656,026x = 958,394,008,576
  5. Step 5: Solve for x
    x = 958,394,008,576/656,026
  6. Step 6: Final answer
    x = 1,460,908.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.