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Finding the Third Proportional to 648,974 and 969,978

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Solution

The third proportional to 648,974 and 969,978 is: 1,449,761.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,974 : 969,978 = 969,978 : x
  2. Step 2: Convert to fraction form
    648,974/969,978 = 969,978/x
  3. Step 3: Cross multiply
    648,974x = 969,978 × 969,978
  4. Step 4: Simplify right side
    648,974x = 940,857,320,484
  5. Step 5: Solve for x
    x = 940,857,320,484/648,974
  6. Step 6: Final answer
    x = 1,449,761.19

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Why These Related Problems?

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