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Finding the Third Proportional to 1,298,520 and 1,940,512

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Solution

The third proportional to 1,298,520 and 1,940,512 is: 2,899,906.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,520 : 1,940,512 = 1,940,512 : x
  2. Step 2: Convert to fraction form
    1,298,520/1,940,512 = 1,940,512/x
  3. Step 3: Cross multiply
    1,298,520x = 1,940,512 × 1,940,512
  4. Step 4: Simplify right side
    1,298,520x = 3,765,586,822,144
  5. Step 5: Solve for x
    x = 3,765,586,822,144/1,298,520
  6. Step 6: Final answer
    x = 2,899,906.68

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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.