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Finding the Third Proportional to 599,265 and 1,298,322

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Solution

The third proportional to 599,265 and 1,298,322 is: 2,812,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,265 : 1,298,322 = 1,298,322 : x
  2. Step 2: Convert to fraction form
    599,265/1,298,322 = 1,298,322/x
  3. Step 3: Cross multiply
    599,265x = 1,298,322 × 1,298,322
  4. Step 4: Simplify right side
    599,265x = 1,685,640,015,684
  5. Step 5: Solve for x
    x = 1,685,640,015,684/599,265
  6. Step 6: Final answer
    x = 2,812,845.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.