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Finding the Third Proportional to 701,697 and 1,476,744

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Solution

The third proportional to 701,697 and 1,476,744 is: 3,107,855.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,697 : 1,476,744 = 1,476,744 : x
  2. Step 2: Convert to fraction form
    701,697/1,476,744 = 1,476,744/x
  3. Step 3: Cross multiply
    701,697x = 1,476,744 × 1,476,744
  4. Step 4: Simplify right side
    701,697x = 2,180,772,841,536
  5. Step 5: Solve for x
    x = 2,180,772,841,536/701,697
  6. Step 6: Final answer
    x = 3,107,855.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.