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Finding the Third Proportional to 525,513 and 1,149,174

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Solution

The third proportional to 525,513 and 1,149,174 is: 2,512,974.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,513 : 1,149,174 = 1,149,174 : x
  2. Step 2: Convert to fraction form
    525,513/1,149,174 = 1,149,174/x
  3. Step 3: Cross multiply
    525,513x = 1,149,174 × 1,149,174
  4. Step 4: Simplify right side
    525,513x = 1,320,600,882,276
  5. Step 5: Solve for x
    x = 1,320,600,882,276/525,513
  6. Step 6: Final answer
    x = 2,512,974.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.