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Finding the Third Proportional to 721,872 and 1,568,424

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Solution

The third proportional to 721,872 and 1,568,424 is: 3,407,742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,872 : 1,568,424 = 1,568,424 : x
  2. Step 2: Convert to fraction form
    721,872/1,568,424 = 1,568,424/x
  3. Step 3: Cross multiply
    721,872x = 1,568,424 × 1,568,424
  4. Step 4: Simplify right side
    721,872x = 2,459,953,843,776
  5. Step 5: Solve for x
    x = 2,459,953,843,776/721,872
  6. Step 6: Final answer
    x = 3,407,742.43

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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.