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Finding the Third Proportional to 585,022 and 1,265,993

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Solution

The third proportional to 585,022 and 1,265,993 is: 2,739,620.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,022 : 1,265,993 = 1,265,993 : x
  2. Step 2: Convert to fraction form
    585,022/1,265,993 = 1,265,993/x
  3. Step 3: Cross multiply
    585,022x = 1,265,993 × 1,265,993
  4. Step 4: Simplify right side
    585,022x = 1,602,738,276,049
  5. Step 5: Solve for x
    x = 1,602,738,276,049/585,022
  6. Step 6: Final answer
    x = 2,739,620.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.