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Finding the Third Proportional to 798,208 and 1,707,104

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Solution

The third proportional to 798,208 and 1,707,104 is: 3,650,933.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,208 : 1,707,104 = 1,707,104 : x
  2. Step 2: Convert to fraction form
    798,208/1,707,104 = 1,707,104/x
  3. Step 3: Cross multiply
    798,208x = 1,707,104 × 1,707,104
  4. Step 4: Simplify right side
    798,208x = 2,914,204,066,816
  5. Step 5: Solve for x
    x = 2,914,204,066,816/798,208
  6. Step 6: Final answer
    x = 3,650,933.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.