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Finding the Third Proportional to 569,162.81 and 1,212,063.75

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Solution

The third proportional to 569,162.81 and 1,212,063.75 is: 2,581,156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,162.81 : 1,212,063.75 = 1,212,063.75 : x
  2. Step 2: Convert to fraction form
    569,162.81/1,212,063.75 = 1,212,063.75/x
  3. Step 3: Cross multiply
    569,162.81x = 1,212,063.75 × 1,212,063.75
  4. Step 4: Simplify right side
    569,162.81x = 1,469,098,534,064.06
  5. Step 5: Solve for x
    x = 1,469,098,534,064.06/569,162.81
  6. Step 6: Final answer
    x = 2,581,156.92

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.