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Finding the Third Proportional to 773,178 and 1,568,100

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Solution

The third proportional to 773,178 and 1,568,100 is: 3,180,299.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,178 : 1,568,100 = 1,568,100 : x
  2. Step 2: Convert to fraction form
    773,178/1,568,100 = 1,568,100/x
  3. Step 3: Cross multiply
    773,178x = 1,568,100 × 1,568,100
  4. Step 4: Simplify right side
    773,178x = 2,458,937,610,000
  5. Step 5: Solve for x
    x = 2,458,937,610,000/773,178
  6. Step 6: Final answer
    x = 3,180,299.50

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.