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Finding the Third Proportional to 713,674.13 and 1,093,115.25

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Solution

The third proportional to 713,674.13 and 1,093,115.25 is: 1,674,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,674.13 : 1,093,115.25 = 1,093,115.25 : x
  2. Step 2: Convert to fraction form
    713,674.13/1,093,115.25 = 1,093,115.25/x
  3. Step 3: Cross multiply
    713,674.13x = 1,093,115.25 × 1,093,115.25
  4. Step 4: Simplify right side
    713,674.13x = 1,194,900,949,782.56
  5. Step 5: Solve for x
    x = 1,194,900,949,782.56/713,674.13
  6. Step 6: Final answer
    x = 1,674,294.90

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.