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Finding the Third Proportional to 729,147 and 1,141,509

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Solution

The third proportional to 729,147 and 1,141,509 is: 1,787,078.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,147 : 1,141,509 = 1,141,509 : x
  2. Step 2: Convert to fraction form
    729,147/1,141,509 = 1,141,509/x
  3. Step 3: Cross multiply
    729,147x = 1,141,509 × 1,141,509
  4. Step 4: Simplify right side
    729,147x = 1,303,042,797,081
  5. Step 5: Solve for x
    x = 1,303,042,797,081/729,147
  6. Step 6: Final answer
    x = 1,787,078.32

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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.