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Finding the Third Proportional to 816,072 and 1,224,108

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Solution

The third proportional to 816,072 and 1,224,108 is: 1,836,162

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,072 : 1,224,108 = 1,224,108 : x
  2. Step 2: Convert to fraction form
    816,072/1,224,108 = 1,224,108/x
  3. Step 3: Cross multiply
    816,072x = 1,224,108 × 1,224,108
  4. Step 4: Simplify right side
    816,072x = 1,498,440,395,664
  5. Step 5: Solve for x
    x = 1,498,440,395,664/816,072
  6. Step 6: Final answer
    x = 1,836,162

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.