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Finding the Third Proportional to 591,634.50 and 1,295,214

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Solution

The third proportional to 591,634.50 and 1,295,214 is: 2,835,499.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,634.50 : 1,295,214 = 1,295,214 : x
  2. Step 2: Convert to fraction form
    591,634.50/1,295,214 = 1,295,214/x
  3. Step 3: Cross multiply
    591,634.50x = 1,295,214 × 1,295,214
  4. Step 4: Simplify right side
    591,634.50x = 1,677,579,305,796
  5. Step 5: Solve for x
    x = 1,677,579,305,796/591,634.50
  6. Step 6: Final answer
    x = 2,835,499.46

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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.