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Finding the Third Proportional to 692,576 and 1,512,256

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Solution

The third proportional to 692,576 and 1,512,256 is: 3,302,046.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,576 : 1,512,256 = 1,512,256 : x
  2. Step 2: Convert to fraction form
    692,576/1,512,256 = 1,512,256/x
  3. Step 3: Cross multiply
    692,576x = 1,512,256 × 1,512,256
  4. Step 4: Simplify right side
    692,576x = 2,286,918,209,536
  5. Step 5: Solve for x
    x = 2,286,918,209,536/692,576
  6. Step 6: Final answer
    x = 3,302,046.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.