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Finding the Third Proportional to 721,343 and 1,568,074

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Solution

The third proportional to 721,343 and 1,568,074 is: 3,408,719.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,343 : 1,568,074 = 1,568,074 : x
  2. Step 2: Convert to fraction form
    721,343/1,568,074 = 1,568,074/x
  3. Step 3: Cross multiply
    721,343x = 1,568,074 × 1,568,074
  4. Step 4: Simplify right side
    721,343x = 2,458,856,069,476
  5. Step 5: Solve for x
    x = 2,458,856,069,476/721,343
  6. Step 6: Final answer
    x = 3,408,719.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.