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Finding the Third Proportional to 789,036.50 and 1,116,468.75

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Solution

The third proportional to 789,036.50 and 1,116,468.75 is: 1,579,777.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,036.50 : 1,116,468.75 = 1,116,468.75 : x
  2. Step 2: Convert to fraction form
    789,036.50/1,116,468.75 = 1,116,468.75/x
  3. Step 3: Cross multiply
    789,036.50x = 1,116,468.75 × 1,116,468.75
  4. Step 4: Simplify right side
    789,036.50x = 1,246,502,469,726.56
  5. Step 5: Solve for x
    x = 1,246,502,469,726.56/789,036.50
  6. Step 6: Final answer
    x = 1,579,777.96

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.