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Finding the Third Proportional to 589,186.88 and 1,265,569.31

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Solution

The third proportional to 589,186.88 and 1,265,569.31 is: 2,718,434.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,186.88 : 1,265,569.31 = 1,265,569.31 : x
  2. Step 2: Convert to fraction form
    589,186.88/1,265,569.31 = 1,265,569.31/x
  3. Step 3: Cross multiply
    589,186.88x = 1,265,569.31 × 1,265,569.31
  4. Step 4: Simplify right side
    589,186.88x = 1,601,665,684,741.72
  5. Step 5: Solve for x
    x = 1,601,665,684,741.72/589,186.88
  6. Step 6: Final answer
    x = 2,718,434.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.