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Finding the Third Proportional to 893,512 and 1,361,328

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Solution

The third proportional to 893,512 and 1,361,328 is: 2,074,078.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,512 : 1,361,328 = 1,361,328 : x
  2. Step 2: Convert to fraction form
    893,512/1,361,328 = 1,361,328/x
  3. Step 3: Cross multiply
    893,512x = 1,361,328 × 1,361,328
  4. Step 4: Simplify right side
    893,512x = 1,853,213,923,584
  5. Step 5: Solve for x
    x = 1,853,213,923,584/893,512
  6. Step 6: Final answer
    x = 2,074,078.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.