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Finding the Third Proportional to 409,172.63 and 889,169.06

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Solution

The third proportional to 409,172.63 and 889,169.06 is: 1,932,244.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,172.63 : 889,169.06 = 889,169.06 : x
  2. Step 2: Convert to fraction form
    409,172.63/889,169.06 = 889,169.06/x
  3. Step 3: Cross multiply
    409,172.63x = 889,169.06 × 889,169.06
  4. Step 4: Simplify right side
    409,172.63x = 790,621,621,707.13
  5. Step 5: Solve for x
    x = 790,621,621,707.13/409,172.63
  6. Step 6: Final answer
    x = 1,932,244.66

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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.