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Finding the Third Proportional to 750,489.75 and 1,614,959.63

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Solution

The third proportional to 750,489.75 and 1,614,959.63 is: 3,475,190.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,489.75 : 1,614,959.63 = 1,614,959.63 : x
  2. Step 2: Convert to fraction form
    750,489.75/1,614,959.63 = 1,614,959.63/x
  3. Step 3: Cross multiply
    750,489.75x = 1,614,959.63 × 1,614,959.63
  4. Step 4: Simplify right side
    750,489.75x = 2,608,094,590,380.14
  5. Step 5: Solve for x
    x = 2,608,094,590,380.14/750,489.75
  6. Step 6: Final answer
    x = 3,475,190.15

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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.