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Finding the Third Proportional to 727,425 and 1,571,004

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Solution

The third proportional to 727,425 and 1,571,004 is: 3,392,863.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,425 : 1,571,004 = 1,571,004 : x
  2. Step 2: Convert to fraction form
    727,425/1,571,004 = 1,571,004/x
  3. Step 3: Cross multiply
    727,425x = 1,571,004 × 1,571,004
  4. Step 4: Simplify right side
    727,425x = 2,468,053,568,016
  5. Step 5: Solve for x
    x = 2,468,053,568,016/727,425
  6. Step 6: Final answer
    x = 3,392,863.28

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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.