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Finding the Third Proportional to 544,824 and 1,155,176

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Solution

The third proportional to 544,824 and 1,155,176 is: 2,449,289.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,824 : 1,155,176 = 1,155,176 : x
  2. Step 2: Convert to fraction form
    544,824/1,155,176 = 1,155,176/x
  3. Step 3: Cross multiply
    544,824x = 1,155,176 × 1,155,176
  4. Step 4: Simplify right side
    544,824x = 1,334,431,590,976
  5. Step 5: Solve for x
    x = 1,334,431,590,976/544,824
  6. Step 6: Final answer
    x = 2,449,289.30

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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.