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Finding the Third Proportional to 1,077,861.94 and 1,690,849.69

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Solution

The third proportional to 1,077,861.94 and 1,690,849.69 is: 2,652,447.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,861.94 : 1,690,849.69 = 1,690,849.69 : x
  2. Step 2: Convert to fraction form
    1,077,861.94/1,690,849.69 = 1,690,849.69/x
  3. Step 3: Cross multiply
    1,077,861.94x = 1,690,849.69 × 1,690,849.69
  4. Step 4: Simplify right side
    1,077,861.94x = 2,858,972,665,718.85
  5. Step 5: Solve for x
    x = 2,858,972,665,718.85/1,077,861.94
  6. Step 6: Final answer
    x = 2,652,447.93

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.