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Finding the Third Proportional to 536,679 and 1,135,431

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Solution

The third proportional to 536,679 and 1,135,431 is: 2,402,187.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,679 : 1,135,431 = 1,135,431 : x
  2. Step 2: Convert to fraction form
    536,679/1,135,431 = 1,135,431/x
  3. Step 3: Cross multiply
    536,679x = 1,135,431 × 1,135,431
  4. Step 4: Simplify right side
    536,679x = 1,289,203,555,761
  5. Step 5: Solve for x
    x = 1,289,203,555,761/536,679
  6. Step 6: Final answer
    x = 2,402,187.44

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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.