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Finding the Third Proportional to 925,257 and 1,380,210

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Solution

The third proportional to 925,257 and 1,380,210 is: 2,058,865.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,257 : 1,380,210 = 1,380,210 : x
  2. Step 2: Convert to fraction form
    925,257/1,380,210 = 1,380,210/x
  3. Step 3: Cross multiply
    925,257x = 1,380,210 × 1,380,210
  4. Step 4: Simplify right side
    925,257x = 1,904,979,644,100
  5. Step 5: Solve for x
    x = 1,904,979,644,100/925,257
  6. Step 6: Final answer
    x = 2,058,865.42

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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.