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Finding the Third Proportional to 812,838 and 1,207,512

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Solution

The third proportional to 812,838 and 1,207,512 is: 1,793,820.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,838 : 1,207,512 = 1,207,512 : x
  2. Step 2: Convert to fraction form
    812,838/1,207,512 = 1,207,512/x
  3. Step 3: Cross multiply
    812,838x = 1,207,512 × 1,207,512
  4. Step 4: Simplify right side
    812,838x = 1,458,085,230,144
  5. Step 5: Solve for x
    x = 1,458,085,230,144/812,838
  6. Step 6: Final answer
    x = 1,793,820.21

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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.