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Finding the Third Proportional to 798,612 and 1,206,231

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Solution

The third proportional to 798,612 and 1,206,231 is: 1,821,902.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,612 : 1,206,231 = 1,206,231 : x
  2. Step 2: Convert to fraction form
    798,612/1,206,231 = 1,206,231/x
  3. Step 3: Cross multiply
    798,612x = 1,206,231 × 1,206,231
  4. Step 4: Simplify right side
    798,612x = 1,454,993,225,361
  5. Step 5: Solve for x
    x = 1,454,993,225,361/798,612
  6. Step 6: Final answer
    x = 1,821,902.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.