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Finding the Third Proportional to 650,709.28 and 1,410,015.94

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Solution

The third proportional to 650,709.28 and 1,410,015.94 is: 3,055,350.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,709.28 : 1,410,015.94 = 1,410,015.94 : x
  2. Step 2: Convert to fraction form
    650,709.28/1,410,015.94 = 1,410,015.94/x
  3. Step 3: Cross multiply
    650,709.28x = 1,410,015.94 × 1,410,015.94
  4. Step 4: Simplify right side
    650,709.28x = 1,988,144,944,004.00
  5. Step 5: Solve for x
    x = 1,988,144,944,004.00/650,709.28
  6. Step 6: Final answer
    x = 3,055,350.52

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Why These Related Problems?

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