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Finding the Third Proportional to 653,016.94 and 989,382.09

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Solution

The third proportional to 653,016.94 and 989,382.09 is: 1,499,006.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,016.94 : 989,382.09 = 989,382.09 : x
  2. Step 2: Convert to fraction form
    653,016.94/989,382.09 = 989,382.09/x
  3. Step 3: Cross multiply
    653,016.94x = 989,382.09 × 989,382.09
  4. Step 4: Simplify right side
    653,016.94x = 978,876,927,433.13
  5. Step 5: Solve for x
    x = 978,876,927,433.13/653,016.94
  6. Step 6: Final answer
    x = 1,499,006.95

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.