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Finding the Third Proportional to 561,611 and 1,211,794

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Solution

The third proportional to 561,611 and 1,211,794 is: 2,614,700.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,611 : 1,211,794 = 1,211,794 : x
  2. Step 2: Convert to fraction form
    561,611/1,211,794 = 1,211,794/x
  3. Step 3: Cross multiply
    561,611x = 1,211,794 × 1,211,794
  4. Step 4: Simplify right side
    561,611x = 1,468,444,698,436
  5. Step 5: Solve for x
    x = 1,468,444,698,436/561,611
  6. Step 6: Final answer
    x = 2,614,700.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.