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Finding the Third Proportional to 565,593 and 1,212,146

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Solution

The third proportional to 565,593 and 1,212,146 is: 2,597,800.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,593 : 1,212,146 = 1,212,146 : x
  2. Step 2: Convert to fraction form
    565,593/1,212,146 = 1,212,146/x
  3. Step 3: Cross multiply
    565,593x = 1,212,146 × 1,212,146
  4. Step 4: Simplify right side
    565,593x = 1,469,297,925,316
  5. Step 5: Solve for x
    x = 1,469,297,925,316/565,593
  6. Step 6: Final answer
    x = 2,597,800.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.