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Finding the Third Proportional to 812,355 and 1,257,231

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Solution

The third proportional to 812,355 and 1,257,231 is: 1,945,737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,355 : 1,257,231 = 1,257,231 : x
  2. Step 2: Convert to fraction form
    812,355/1,257,231 = 1,257,231/x
  3. Step 3: Cross multiply
    812,355x = 1,257,231 × 1,257,231
  4. Step 4: Simplify right side
    812,355x = 1,580,629,787,361
  5. Step 5: Solve for x
    x = 1,580,629,787,361/812,355
  6. Step 6: Final answer
    x = 1,945,737.75

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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.