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Finding the Third Proportional to 737,732 and 1,171,110

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Solution

The third proportional to 737,732 and 1,171,110 is: 1,859,074.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,732 : 1,171,110 = 1,171,110 : x
  2. Step 2: Convert to fraction form
    737,732/1,171,110 = 1,171,110/x
  3. Step 3: Cross multiply
    737,732x = 1,171,110 × 1,171,110
  4. Step 4: Simplify right side
    737,732x = 1,371,498,632,100
  5. Step 5: Solve for x
    x = 1,371,498,632,100/737,732
  6. Step 6: Final answer
    x = 1,859,074.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.