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Finding the Third Proportional to 729,314 and 1,575,268

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Solution

The third proportional to 729,314 and 1,575,268 is: 3,402,470.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,314 : 1,575,268 = 1,575,268 : x
  2. Step 2: Convert to fraction form
    729,314/1,575,268 = 1,575,268/x
  3. Step 3: Cross multiply
    729,314x = 1,575,268 × 1,575,268
  4. Step 4: Simplify right side
    729,314x = 2,481,469,271,824
  5. Step 5: Solve for x
    x = 2,481,469,271,824/729,314
  6. Step 6: Final answer
    x = 3,402,470.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.