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Finding the Third Proportional to 585,093 and 1,258,757

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Solution

The third proportional to 585,093 and 1,258,757 is: 2,708,063.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,093 : 1,258,757 = 1,258,757 : x
  2. Step 2: Convert to fraction form
    585,093/1,258,757 = 1,258,757/x
  3. Step 3: Cross multiply
    585,093x = 1,258,757 × 1,258,757
  4. Step 4: Simplify right side
    585,093x = 1,584,469,185,049
  5. Step 5: Solve for x
    x = 1,584,469,185,049/585,093
  6. Step 6: Final answer
    x = 2,708,063.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.