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Finding the Third Proportional to 833,198 and 1,244,346

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Solution

The third proportional to 833,198 and 1,244,346 is: 1,858,378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,198 : 1,244,346 = 1,244,346 : x
  2. Step 2: Convert to fraction form
    833,198/1,244,346 = 1,244,346/x
  3. Step 3: Cross multiply
    833,198x = 1,244,346 × 1,244,346
  4. Step 4: Simplify right side
    833,198x = 1,548,396,967,716
  5. Step 5: Solve for x
    x = 1,548,396,967,716/833,198
  6. Step 6: Final answer
    x = 1,858,378.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.