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Finding the Third Proportional to 725,142 and 1,595,274

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Solution

The third proportional to 725,142 and 1,595,274 is: 3,509,518.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,142 : 1,595,274 = 1,595,274 : x
  2. Step 2: Convert to fraction form
    725,142/1,595,274 = 1,595,274/x
  3. Step 3: Cross multiply
    725,142x = 1,595,274 × 1,595,274
  4. Step 4: Simplify right side
    725,142x = 2,544,899,135,076
  5. Step 5: Solve for x
    x = 2,544,899,135,076/725,142
  6. Step 6: Final answer
    x = 3,509,518.32

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