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Finding the Third Proportional to 547,656 and 1,176,268

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Solution

The third proportional to 547,656 and 1,176,268 is: 2,526,415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,656 : 1,176,268 = 1,176,268 : x
  2. Step 2: Convert to fraction form
    547,656/1,176,268 = 1,176,268/x
  3. Step 3: Cross multiply
    547,656x = 1,176,268 × 1,176,268
  4. Step 4: Simplify right side
    547,656x = 1,383,606,407,824
  5. Step 5: Solve for x
    x = 1,383,606,407,824/547,656
  6. Step 6: Final answer
    x = 2,526,415.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.