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Finding the Third Proportional to 721,048 and 1,669,181

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Solution

The third proportional to 721,048 and 1,669,181 is: 3,864,049.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,048 : 1,669,181 = 1,669,181 : x
  2. Step 2: Convert to fraction form
    721,048/1,669,181 = 1,669,181/x
  3. Step 3: Cross multiply
    721,048x = 1,669,181 × 1,669,181
  4. Step 4: Simplify right side
    721,048x = 2,786,165,210,761
  5. Step 5: Solve for x
    x = 2,786,165,210,761/721,048
  6. Step 6: Final answer
    x = 3,864,049.57

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.