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Finding the Third Proportional to 729,450 and 1,172,017

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Solution

The third proportional to 729,450 and 1,172,017 is: 1,883,095.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,450 : 1,172,017 = 1,172,017 : x
  2. Step 2: Convert to fraction form
    729,450/1,172,017 = 1,172,017/x
  3. Step 3: Cross multiply
    729,450x = 1,172,017 × 1,172,017
  4. Step 4: Simplify right side
    729,450x = 1,373,623,848,289
  5. Step 5: Solve for x
    x = 1,373,623,848,289/729,450
  6. Step 6: Final answer
    x = 1,883,095.27

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.