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Finding the Third Proportional to 725,140 and 1,555,256

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Solution

The third proportional to 725,140 and 1,555,256 is: 3,335,661.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,140 : 1,555,256 = 1,555,256 : x
  2. Step 2: Convert to fraction form
    725,140/1,555,256 = 1,555,256/x
  3. Step 3: Cross multiply
    725,140x = 1,555,256 × 1,555,256
  4. Step 4: Simplify right side
    725,140x = 2,418,821,225,536
  5. Step 5: Solve for x
    x = 2,418,821,225,536/725,140
  6. Step 6: Final answer
    x = 3,335,661.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.