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Finding the Third Proportional to 565,512 and 1,229,196

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Solution

The third proportional to 565,512 and 1,229,196 is: 2,671,778.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,512 : 1,229,196 = 1,229,196 : x
  2. Step 2: Convert to fraction form
    565,512/1,229,196 = 1,229,196/x
  3. Step 3: Cross multiply
    565,512x = 1,229,196 × 1,229,196
  4. Step 4: Simplify right side
    565,512x = 1,510,922,806,416
  5. Step 5: Solve for x
    x = 1,510,922,806,416/565,512
  6. Step 6: Final answer
    x = 2,671,778.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.