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Finding the Third Proportional to 565,513 and 1,196,474

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Solution

The third proportional to 565,513 and 1,196,474 is: 2,531,418.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,513 : 1,196,474 = 1,196,474 : x
  2. Step 2: Convert to fraction form
    565,513/1,196,474 = 1,196,474/x
  3. Step 3: Cross multiply
    565,513x = 1,196,474 × 1,196,474
  4. Step 4: Simplify right side
    565,513x = 1,431,550,032,676
  5. Step 5: Solve for x
    x = 1,431,550,032,676/565,513
  6. Step 6: Final answer
    x = 2,531,418.43

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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.