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Finding the Third Proportional to 616,115.25 and 1,348,179.75

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Solution

The third proportional to 616,115.25 and 1,348,179.75 is: 2,950,078.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,115.25 : 1,348,179.75 = 1,348,179.75 : x
  2. Step 2: Convert to fraction form
    616,115.25/1,348,179.75 = 1,348,179.75/x
  3. Step 3: Cross multiply
    616,115.25x = 1,348,179.75 × 1,348,179.75
  4. Step 4: Simplify right side
    616,115.25x = 1,817,588,638,310.06
  5. Step 5: Solve for x
    x = 1,817,588,638,310.06/616,115.25
  6. Step 6: Final answer
    x = 2,950,078.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.