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Finding the Third Proportional to 625,758 and 1,280,676

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Solution

The third proportional to 625,758 and 1,280,676 is: 2,621,030.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,758 : 1,280,676 = 1,280,676 : x
  2. Step 2: Convert to fraction form
    625,758/1,280,676 = 1,280,676/x
  3. Step 3: Cross multiply
    625,758x = 1,280,676 × 1,280,676
  4. Step 4: Simplify right side
    625,758x = 1,640,131,016,976
  5. Step 5: Solve for x
    x = 1,640,131,016,976/625,758
  6. Step 6: Final answer
    x = 2,621,030.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.