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Finding the Third Proportional to 810,669 and 1,759,794

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Solution

The third proportional to 810,669 and 1,759,794 is: 3,820,147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,669 : 1,759,794 = 1,759,794 : x
  2. Step 2: Convert to fraction form
    810,669/1,759,794 = 1,759,794/x
  3. Step 3: Cross multiply
    810,669x = 1,759,794 × 1,759,794
  4. Step 4: Simplify right side
    810,669x = 3,096,874,922,436
  5. Step 5: Solve for x
    x = 3,096,874,922,436/810,669
  6. Step 6: Final answer
    x = 3,820,147.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.