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Finding the Third Proportional to 816,192 and 1,266,912

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Solution

The third proportional to 816,192 and 1,266,912 is: 1,966,529.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,192 : 1,266,912 = 1,266,912 : x
  2. Step 2: Convert to fraction form
    816,192/1,266,912 = 1,266,912/x
  3. Step 3: Cross multiply
    816,192x = 1,266,912 × 1,266,912
  4. Step 4: Simplify right side
    816,192x = 1,605,066,015,744
  5. Step 5: Solve for x
    x = 1,605,066,015,744/816,192
  6. Step 6: Final answer
    x = 1,966,529.95

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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.