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Finding the Third Proportional to 693,168 and 1,489,476

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Solution

The third proportional to 693,168 and 1,489,476 is: 3,200,578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,168 : 1,489,476 = 1,489,476 : x
  2. Step 2: Convert to fraction form
    693,168/1,489,476 = 1,489,476/x
  3. Step 3: Cross multiply
    693,168x = 1,489,476 × 1,489,476
  4. Step 4: Simplify right side
    693,168x = 2,218,538,754,576
  5. Step 5: Solve for x
    x = 2,218,538,754,576/693,168
  6. Step 6: Final answer
    x = 3,200,578.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.