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Finding the Third Proportional to 649,828 and 1,351,656

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Solution

The third proportional to 649,828 and 1,351,656 is: 2,811,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,828 : 1,351,656 = 1,351,656 : x
  2. Step 2: Convert to fraction form
    649,828/1,351,656 = 1,351,656/x
  3. Step 3: Cross multiply
    649,828x = 1,351,656 × 1,351,656
  4. Step 4: Simplify right side
    649,828x = 1,826,973,942,336
  5. Step 5: Solve for x
    x = 1,826,973,942,336/649,828
  6. Step 6: Final answer
    x = 2,811,473.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.