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Finding the Third Proportional to 714,690 and 1,571,067

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Solution

The third proportional to 714,690 and 1,571,067 is: 3,453,597.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,690 : 1,571,067 = 1,571,067 : x
  2. Step 2: Convert to fraction form
    714,690/1,571,067 = 1,571,067/x
  3. Step 3: Cross multiply
    714,690x = 1,571,067 × 1,571,067
  4. Step 4: Simplify right side
    714,690x = 2,468,251,518,489
  5. Step 5: Solve for x
    x = 2,468,251,518,489/714,690
  6. Step 6: Final answer
    x = 3,453,597.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.