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Finding the Third Proportional to 688,189 and 1,512,520

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Solution

The third proportional to 688,189 and 1,512,520 is: 3,324,256.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,189 : 1,512,520 = 1,512,520 : x
  2. Step 2: Convert to fraction form
    688,189/1,512,520 = 1,512,520/x
  3. Step 3: Cross multiply
    688,189x = 1,512,520 × 1,512,520
  4. Step 4: Simplify right side
    688,189x = 2,287,716,750,400
  5. Step 5: Solve for x
    x = 2,287,716,750,400/688,189
  6. Step 6: Final answer
    x = 3,324,256.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.