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Finding the Third Proportional to 785,475.09 and 1,201,058.44

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Solution

The third proportional to 785,475.09 and 1,201,058.44 is: 1,836,520.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,475.09 : 1,201,058.44 = 1,201,058.44 : x
  2. Step 2: Convert to fraction form
    785,475.09/1,201,058.44 = 1,201,058.44/x
  3. Step 3: Cross multiply
    785,475.09x = 1,201,058.44 × 1,201,058.44
  4. Step 4: Simplify right side
    785,475.09x = 1,442,541,370,289.94
  5. Step 5: Solve for x
    x = 1,442,541,370,289.94/785,475.09
  6. Step 6: Final answer
    x = 1,836,520.83

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.