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Finding the Third Proportional to 599,284 and 1,287,504

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Solution

The third proportional to 599,284 and 1,287,504 is: 2,766,078.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,284 : 1,287,504 = 1,287,504 : x
  2. Step 2: Convert to fraction form
    599,284/1,287,504 = 1,287,504/x
  3. Step 3: Cross multiply
    599,284x = 1,287,504 × 1,287,504
  4. Step 4: Simplify right side
    599,284x = 1,657,666,550,016
  5. Step 5: Solve for x
    x = 1,657,666,550,016/599,284
  6. Step 6: Final answer
    x = 2,766,078.44

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.