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Finding the Third Proportional to 561,806 and 1,238,134

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Solution

The third proportional to 561,806 and 1,238,134 is: 2,728,656.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,806 : 1,238,134 = 1,238,134 : x
  2. Step 2: Convert to fraction form
    561,806/1,238,134 = 1,238,134/x
  3. Step 3: Cross multiply
    561,806x = 1,238,134 × 1,238,134
  4. Step 4: Simplify right side
    561,806x = 1,532,975,801,956
  5. Step 5: Solve for x
    x = 1,532,975,801,956/561,806
  6. Step 6: Final answer
    x = 2,728,656.87

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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.