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Finding the Third Proportional to 798,489 and 1,206,054

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Solution

The third proportional to 798,489 and 1,206,054 is: 1,821,648.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,489 : 1,206,054 = 1,206,054 : x
  2. Step 2: Convert to fraction form
    798,489/1,206,054 = 1,206,054/x
  3. Step 3: Cross multiply
    798,489x = 1,206,054 × 1,206,054
  4. Step 4: Simplify right side
    798,489x = 1,454,566,250,916
  5. Step 5: Solve for x
    x = 1,454,566,250,916/798,489
  6. Step 6: Final answer
    x = 1,821,648.45

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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.