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Finding the Third Proportional to 569,960 and 1,216,198

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Solution

The third proportional to 569,960 and 1,216,198 is: 2,595,160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,960 : 1,216,198 = 1,216,198 : x
  2. Step 2: Convert to fraction form
    569,960/1,216,198 = 1,216,198/x
  3. Step 3: Cross multiply
    569,960x = 1,216,198 × 1,216,198
  4. Step 4: Simplify right side
    569,960x = 1,479,137,575,204
  5. Step 5: Solve for x
    x = 1,479,137,575,204/569,960
  6. Step 6: Final answer
    x = 2,595,160.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.