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Finding the Third Proportional to 725,463 and 1,509,786

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Solution

The third proportional to 725,463 and 1,509,786 is: 3,142,067.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,463 : 1,509,786 = 1,509,786 : x
  2. Step 2: Convert to fraction form
    725,463/1,509,786 = 1,509,786/x
  3. Step 3: Cross multiply
    725,463x = 1,509,786 × 1,509,786
  4. Step 4: Simplify right side
    725,463x = 2,279,453,765,796
  5. Step 5: Solve for x
    x = 2,279,453,765,796/725,463
  6. Step 6: Final answer
    x = 3,142,067.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.