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Finding the Third Proportional to 702,947 and 1,512,692

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Solution

The third proportional to 702,947 and 1,512,692 is: 3,255,205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,947 : 1,512,692 = 1,512,692 : x
  2. Step 2: Convert to fraction form
    702,947/1,512,692 = 1,512,692/x
  3. Step 3: Cross multiply
    702,947x = 1,512,692 × 1,512,692
  4. Step 4: Simplify right side
    702,947x = 2,288,237,086,864
  5. Step 5: Solve for x
    x = 2,288,237,086,864/702,947
  6. Step 6: Final answer
    x = 3,255,205.71

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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.