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Finding the Third Proportional to 725,550 and 1,575,381

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Solution

The third proportional to 725,550 and 1,575,381 is: 3,420,612.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,550 : 1,575,381 = 1,575,381 : x
  2. Step 2: Convert to fraction form
    725,550/1,575,381 = 1,575,381/x
  3. Step 3: Cross multiply
    725,550x = 1,575,381 × 1,575,381
  4. Step 4: Simplify right side
    725,550x = 2,481,825,295,161
  5. Step 5: Solve for x
    x = 2,481,825,295,161/725,550
  6. Step 6: Final answer
    x = 3,420,612.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.