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Finding the Third Proportional to 477,947.25 and 1,042,848

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Solution

The third proportional to 477,947.25 and 1,042,848 is: 2,275,422.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,947.25 : 1,042,848 = 1,042,848 : x
  2. Step 2: Convert to fraction form
    477,947.25/1,042,848 = 1,042,848/x
  3. Step 3: Cross multiply
    477,947.25x = 1,042,848 × 1,042,848
  4. Step 4: Simplify right side
    477,947.25x = 1,087,531,951,104
  5. Step 5: Solve for x
    x = 1,087,531,951,104/477,947.25
  6. Step 6: Final answer
    x = 2,275,422.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.