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Finding the Third Proportional to 774,400 and 1,247,568

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Solution

The third proportional to 774,400 and 1,247,568 is: 2,009,847.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,400 : 1,247,568 = 1,247,568 : x
  2. Step 2: Convert to fraction form
    774,400/1,247,568 = 1,247,568/x
  3. Step 3: Cross multiply
    774,400x = 1,247,568 × 1,247,568
  4. Step 4: Simplify right side
    774,400x = 1,556,425,914,624
  5. Step 5: Solve for x
    x = 1,556,425,914,624/774,400
  6. Step 6: Final answer
    x = 2,009,847.51

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.