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Finding the Third Proportional to 511,656 and 1,085,652

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Solution

The third proportional to 511,656 and 1,085,652 is: 2,303,579.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,656 : 1,085,652 = 1,085,652 : x
  2. Step 2: Convert to fraction form
    511,656/1,085,652 = 1,085,652/x
  3. Step 3: Cross multiply
    511,656x = 1,085,652 × 1,085,652
  4. Step 4: Simplify right side
    511,656x = 1,178,640,265,104
  5. Step 5: Solve for x
    x = 1,178,640,265,104/511,656
  6. Step 6: Final answer
    x = 2,303,579.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.