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Finding the Third Proportional to 683,269 and 1,581,794

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Solution

The third proportional to 683,269 and 1,581,794 is: 3,661,913.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,269 : 1,581,794 = 1,581,794 : x
  2. Step 2: Convert to fraction form
    683,269/1,581,794 = 1,581,794/x
  3. Step 3: Cross multiply
    683,269x = 1,581,794 × 1,581,794
  4. Step 4: Simplify right side
    683,269x = 2,502,072,258,436
  5. Step 5: Solve for x
    x = 2,502,072,258,436/683,269
  6. Step 6: Final answer
    x = 3,661,913.91

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.