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Finding the Third Proportional to 452,294.25 and 941,805.75

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Solution

The third proportional to 452,294.25 and 941,805.75 is: 1,961,108.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,294.25 : 941,805.75 = 941,805.75 : x
  2. Step 2: Convert to fraction form
    452,294.25/941,805.75 = 941,805.75/x
  3. Step 3: Cross multiply
    452,294.25x = 941,805.75 × 941,805.75
  4. Step 4: Simplify right side
    452,294.25x = 886,998,070,733.06
  5. Step 5: Solve for x
    x = 886,998,070,733.06/452,294.25
  6. Step 6: Final answer
    x = 1,961,108.44

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.