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Finding the Third Proportional to 409,147.75 and 889,116.75

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Solution

The third proportional to 409,147.75 and 889,116.75 is: 1,932,134.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,147.75 : 889,116.75 = 889,116.75 : x
  2. Step 2: Convert to fraction form
    409,147.75/889,116.75 = 889,116.75/x
  3. Step 3: Cross multiply
    409,147.75x = 889,116.75 × 889,116.75
  4. Step 4: Simplify right side
    409,147.75x = 790,528,595,130.56
  5. Step 5: Solve for x
    x = 790,528,595,130.56/409,147.75
  6. Step 6: Final answer
    x = 1,932,134.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.