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Finding the Third Proportional to 536,576 and 1,135,270

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Solution

The third proportional to 536,576 and 1,135,270 is: 2,401,967.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,576 : 1,135,270 = 1,135,270 : x
  2. Step 2: Convert to fraction form
    536,576/1,135,270 = 1,135,270/x
  3. Step 3: Cross multiply
    536,576x = 1,135,270 × 1,135,270
  4. Step 4: Simplify right side
    536,576x = 1,288,837,972,900
  5. Step 5: Solve for x
    x = 1,288,837,972,900/536,576
  6. Step 6: Final answer
    x = 2,401,967.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.