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Finding the Third Proportional to 638,100 and 1,392,108

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Solution

The third proportional to 638,100 and 1,392,108 is: 3,037,086.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,100 : 1,392,108 = 1,392,108 : x
  2. Step 2: Convert to fraction form
    638,100/1,392,108 = 1,392,108/x
  3. Step 3: Cross multiply
    638,100x = 1,392,108 × 1,392,108
  4. Step 4: Simplify right side
    638,100x = 1,937,964,683,664
  5. Step 5: Solve for x
    x = 1,937,964,683,664/638,100
  6. Step 6: Final answer
    x = 3,037,086.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.