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Finding the Third Proportional to 811,236 and 1,261,104

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Solution

The third proportional to 811,236 and 1,261,104 is: 1,960,444.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,236 : 1,261,104 = 1,261,104 : x
  2. Step 2: Convert to fraction form
    811,236/1,261,104 = 1,261,104/x
  3. Step 3: Cross multiply
    811,236x = 1,261,104 × 1,261,104
  4. Step 4: Simplify right side
    811,236x = 1,590,383,298,816
  5. Step 5: Solve for x
    x = 1,590,383,298,816/811,236
  6. Step 6: Final answer
    x = 1,960,444.68

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Why These Related Problems?

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