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Finding the Third Proportional to 675,268 and 1,577,578

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Solution

The third proportional to 675,268 and 1,577,578 is: 3,685,577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,268 : 1,577,578 = 1,577,578 : x
  2. Step 2: Convert to fraction form
    675,268/1,577,578 = 1,577,578/x
  3. Step 3: Cross multiply
    675,268x = 1,577,578 × 1,577,578
  4. Step 4: Simplify right side
    675,268x = 2,488,752,346,084
  5. Step 5: Solve for x
    x = 2,488,752,346,084/675,268
  6. Step 6: Final answer
    x = 3,685,577.20

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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.