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Finding the Third Proportional to 512,826 and 1,122,168

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Solution

The third proportional to 512,826 and 1,122,168 is: 2,455,532.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,826 : 1,122,168 = 1,122,168 : x
  2. Step 2: Convert to fraction form
    512,826/1,122,168 = 1,122,168/x
  3. Step 3: Cross multiply
    512,826x = 1,122,168 × 1,122,168
  4. Step 4: Simplify right side
    512,826x = 1,259,261,020,224
  5. Step 5: Solve for x
    x = 1,259,261,020,224/512,826
  6. Step 6: Final answer
    x = 2,455,532.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.