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Finding the Third Proportional to 542,856 and 1,100,289

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Solution

The third proportional to 542,856 and 1,100,289 is: 2,230,123.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,856 : 1,100,289 = 1,100,289 : x
  2. Step 2: Convert to fraction form
    542,856/1,100,289 = 1,100,289/x
  3. Step 3: Cross multiply
    542,856x = 1,100,289 × 1,100,289
  4. Step 4: Simplify right side
    542,856x = 1,210,635,883,521
  5. Step 5: Solve for x
    x = 1,210,635,883,521/542,856
  6. Step 6: Final answer
    x = 2,230,123.43

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.