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Finding the Third Proportional to 542,649.38 and 1,157,348.25

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Solution

The third proportional to 542,649.38 and 1,157,348.25 is: 2,468,361.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,649.38 : 1,157,348.25 = 1,157,348.25 : x
  2. Step 2: Convert to fraction form
    542,649.38/1,157,348.25 = 1,157,348.25/x
  3. Step 3: Cross multiply
    542,649.38x = 1,157,348.25 × 1,157,348.25
  4. Step 4: Simplify right side
    542,649.38x = 1,339,454,971,778.06
  5. Step 5: Solve for x
    x = 1,339,454,971,778.06/542,649.38
  6. Step 6: Final answer
    x = 2,468,361.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.