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Finding the Third Proportional to 431,120.81 and 889,916.63

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Solution

The third proportional to 431,120.81 and 889,916.63 is: 1,836,959.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,120.81 : 889,916.63 = 889,916.63 : x
  2. Step 2: Convert to fraction form
    431,120.81/889,916.63 = 889,916.63/x
  3. Step 3: Cross multiply
    431,120.81x = 889,916.63 × 889,916.63
  4. Step 4: Simplify right side
    431,120.81x = 791,951,599,451.39
  5. Step 5: Solve for x
    x = 791,951,599,451.39/431,120.81
  6. Step 6: Final answer
    x = 1,836,959.80

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.