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Finding the Third Proportional to 772,708 and 1,699,573

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Solution

The third proportional to 772,708 and 1,699,573 is: 3,738,214.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,708 : 1,699,573 = 1,699,573 : x
  2. Step 2: Convert to fraction form
    772,708/1,699,573 = 1,699,573/x
  3. Step 3: Cross multiply
    772,708x = 1,699,573 × 1,699,573
  4. Step 4: Simplify right side
    772,708x = 2,888,548,382,329
  5. Step 5: Solve for x
    x = 2,888,548,382,329/772,708
  6. Step 6: Final answer
    x = 3,738,214.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.