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Finding the Third Proportional to 675,296 and 1,577,648

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Solution

The third proportional to 675,296 and 1,577,648 is: 3,685,751.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,296 : 1,577,648 = 1,577,648 : x
  2. Step 2: Convert to fraction form
    675,296/1,577,648 = 1,577,648/x
  3. Step 3: Cross multiply
    675,296x = 1,577,648 × 1,577,648
  4. Step 4: Simplify right side
    675,296x = 2,488,973,211,904
  5. Step 5: Solve for x
    x = 2,488,973,211,904/675,296
  6. Step 6: Final answer
    x = 3,685,751.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.