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Finding the Third Proportional to 798,496 and 1,206,063

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Solution

The third proportional to 798,496 and 1,206,063 is: 1,821,659.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,496 : 1,206,063 = 1,206,063 : x
  2. Step 2: Convert to fraction form
    798,496/1,206,063 = 1,206,063/x
  3. Step 3: Cross multiply
    798,496x = 1,206,063 × 1,206,063
  4. Step 4: Simplify right side
    798,496x = 1,454,587,959,969
  5. Step 5: Solve for x
    x = 1,454,587,959,969/798,496
  6. Step 6: Final answer
    x = 1,821,659.67

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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.