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Finding the Third Proportional to 591,321.94 and 1,294,590.75

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Solution

The third proportional to 591,321.94 and 1,294,590.75 is: 2,834,268.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,321.94 : 1,294,590.75 = 1,294,590.75 : x
  2. Step 2: Convert to fraction form
    591,321.94/1,294,590.75 = 1,294,590.75/x
  3. Step 3: Cross multiply
    591,321.94x = 1,294,590.75 × 1,294,590.75
  4. Step 4: Simplify right side
    591,321.94x = 1,675,965,209,985.56
  5. Step 5: Solve for x
    x = 1,675,965,209,985.56/591,321.94
  6. Step 6: Final answer
    x = 2,834,268.62

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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.