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Finding the Third Proportional to 591,056 and 1,260,736

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Solution

The third proportional to 591,056 and 1,260,736 is: 2,689,178.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,056 : 1,260,736 = 1,260,736 : x
  2. Step 2: Convert to fraction form
    591,056/1,260,736 = 1,260,736/x
  3. Step 3: Cross multiply
    591,056x = 1,260,736 × 1,260,736
  4. Step 4: Simplify right side
    591,056x = 1,589,455,261,696
  5. Step 5: Solve for x
    x = 1,589,455,261,696/591,056
  6. Step 6: Final answer
    x = 2,689,178.79

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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.