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Finding the Third Proportional to 585,512 and 1,305,652

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Solution

The third proportional to 585,512 and 1,305,652 is: 2,911,515.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,512 : 1,305,652 = 1,305,652 : x
  2. Step 2: Convert to fraction form
    585,512/1,305,652 = 1,305,652/x
  3. Step 3: Cross multiply
    585,512x = 1,305,652 × 1,305,652
  4. Step 4: Simplify right side
    585,512x = 1,704,727,145,104
  5. Step 5: Solve for x
    x = 1,704,727,145,104/585,512
  6. Step 6: Final answer
    x = 2,911,515.30

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.