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Finding the Third Proportional to 734,524.45 and 1,135,001.74

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Solution

The third proportional to 734,524.45 and 1,135,001.74 is: 1,753,827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,524.45 : 1,135,001.74 = 1,135,001.74 : x
  2. Step 2: Convert to fraction form
    734,524.45/1,135,001.74 = 1,135,001.74/x
  3. Step 3: Cross multiply
    734,524.45x = 1,135,001.74 × 1,135,001.74
  4. Step 4: Simplify right side
    734,524.45x = 1,288,228,954,768.66
  5. Step 5: Solve for x
    x = 1,288,228,954,768.66/734,524.45
  6. Step 6: Final answer
    x = 1,753,827.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.