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Finding the Third Proportional to 598,426.42 and 1,298,578.24

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Solution

The third proportional to 598,426.42 and 1,298,578.24 is: 2,817,899.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,426.42 : 1,298,578.24 = 1,298,578.24 : x
  2. Step 2: Convert to fraction form
    598,426.42/1,298,578.24 = 1,298,578.24/x
  3. Step 3: Cross multiply
    598,426.42x = 1,298,578.24 × 1,298,578.24
  4. Step 4: Simplify right side
    598,426.42x = 1,686,305,435,865.00
  5. Step 5: Solve for x
    x = 1,686,305,435,865.00/598,426.42
  6. Step 6: Final answer
    x = 2,817,899.39

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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.