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Finding the Third Proportional to 733,142 and 1,135,173

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Solution

The third proportional to 733,142 and 1,135,173 is: 1,757,664.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,142 : 1,135,173 = 1,135,173 : x
  2. Step 2: Convert to fraction form
    733,142/1,135,173 = 1,135,173/x
  3. Step 3: Cross multiply
    733,142x = 1,135,173 × 1,135,173
  4. Step 4: Simplify right side
    733,142x = 1,288,617,739,929
  5. Step 5: Solve for x
    x = 1,288,617,739,929/733,142
  6. Step 6: Final answer
    x = 1,757,664.60

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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.