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Finding the Third Proportional to 418,856 and 914,524.25

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Solution

The third proportional to 418,856 and 914,524.25 is: 1,996,759.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,856 : 914,524.25 = 914,524.25 : x
  2. Step 2: Convert to fraction form
    418,856/914,524.25 = 914,524.25/x
  3. Step 3: Cross multiply
    418,856x = 914,524.25 × 914,524.25
  4. Step 4: Simplify right side
    418,856x = 836,354,603,838.06
  5. Step 5: Solve for x
    x = 836,354,603,838.06/418,856
  6. Step 6: Final answer
    x = 1,996,759.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.