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Finding the Third Proportional to 638,138 and 987,978

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Solution

The third proportional to 638,138 and 987,978 is: 1,529,607.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,138 : 987,978 = 987,978 : x
  2. Step 2: Convert to fraction form
    638,138/987,978 = 987,978/x
  3. Step 3: Cross multiply
    638,138x = 987,978 × 987,978
  4. Step 4: Simplify right side
    638,138x = 976,100,528,484
  5. Step 5: Solve for x
    x = 976,100,528,484/638,138
  6. Step 6: Final answer
    x = 1,529,607.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.