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Finding the Third Proportional to 925,253 and 1,380,205

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Solution

The third proportional to 925,253 and 1,380,205 is: 2,058,859.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,253 : 1,380,205 = 1,380,205 : x
  2. Step 2: Convert to fraction form
    925,253/1,380,205 = 1,380,205/x
  3. Step 3: Cross multiply
    925,253x = 1,380,205 × 1,380,205
  4. Step 4: Simplify right side
    925,253x = 1,904,965,842,025
  5. Step 5: Solve for x
    x = 1,904,965,842,025/925,253
  6. Step 6: Final answer
    x = 2,058,859.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.