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Finding the Third Proportional to 757,204 and 1,129,242

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Solution

The third proportional to 757,204 and 1,129,242 is: 1,684,073.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,204 : 1,129,242 = 1,129,242 : x
  2. Step 2: Convert to fraction form
    757,204/1,129,242 = 1,129,242/x
  3. Step 3: Cross multiply
    757,204x = 1,129,242 × 1,129,242
  4. Step 4: Simplify right side
    757,204x = 1,275,187,494,564
  5. Step 5: Solve for x
    x = 1,275,187,494,564/757,204
  6. Step 6: Final answer
    x = 1,684,073.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.