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Finding the Third Proportional to 725,364 and 1,567,512

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Solution

The third proportional to 725,364 and 1,567,512 is: 3,387,394.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,364 : 1,567,512 = 1,567,512 : x
  2. Step 2: Convert to fraction form
    725,364/1,567,512 = 1,567,512/x
  3. Step 3: Cross multiply
    725,364x = 1,567,512 × 1,567,512
  4. Step 4: Simplify right side
    725,364x = 2,457,093,870,144
  5. Step 5: Solve for x
    x = 2,457,093,870,144/725,364
  6. Step 6: Final answer
    x = 3,387,394.29

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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.