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Finding the Third Proportional to 514,628.44 and 1,128,947.63

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Solution

The third proportional to 514,628.44 and 1,128,947.63 is: 2,476,588.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,628.44 : 1,128,947.63 = 1,128,947.63 : x
  2. Step 2: Convert to fraction form
    514,628.44/1,128,947.63 = 1,128,947.63/x
  3. Step 3: Cross multiply
    514,628.44x = 1,128,947.63 × 1,128,947.63
  4. Step 4: Simplify right side
    514,628.44x = 1,274,522,739,993.14
  5. Step 5: Solve for x
    x = 1,274,522,739,993.14/514,628.44
  6. Step 6: Final answer
    x = 2,476,588.25

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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.