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Finding the Third Proportional to 775,542 and 1,164,132

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Solution

The third proportional to 775,542 and 1,164,132 is: 1,747,427.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,542 : 1,164,132 = 1,164,132 : x
  2. Step 2: Convert to fraction form
    775,542/1,164,132 = 1,164,132/x
  3. Step 3: Cross multiply
    775,542x = 1,164,132 × 1,164,132
  4. Step 4: Simplify right side
    775,542x = 1,355,203,313,424
  5. Step 5: Solve for x
    x = 1,355,203,313,424/775,542
  6. Step 6: Final answer
    x = 1,747,427.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.