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Finding the Third Proportional to 571,509 and 1,255,824

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Solution

The third proportional to 571,509 and 1,255,824 is: 2,759,525.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,509 : 1,255,824 = 1,255,824 : x
  2. Step 2: Convert to fraction form
    571,509/1,255,824 = 1,255,824/x
  3. Step 3: Cross multiply
    571,509x = 1,255,824 × 1,255,824
  4. Step 4: Simplify right side
    571,509x = 1,577,093,918,976
  5. Step 5: Solve for x
    x = 1,577,093,918,976/571,509
  6. Step 6: Final answer
    x = 2,759,525.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.