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Finding the Third Proportional to 725,127 and 1,595,244

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Solution

The third proportional to 725,127 and 1,595,244 is: 3,509,458.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,127 : 1,595,244 = 1,595,244 : x
  2. Step 2: Convert to fraction form
    725,127/1,595,244 = 1,595,244/x
  3. Step 3: Cross multiply
    725,127x = 1,595,244 × 1,595,244
  4. Step 4: Simplify right side
    725,127x = 2,544,803,419,536
  5. Step 5: Solve for x
    x = 2,544,803,419,536/725,127
  6. Step 6: Final answer
    x = 3,509,458.92

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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.