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Finding the Third Proportional to 775,533 and 1,164,120

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Solution

The third proportional to 775,533 and 1,164,120 is: 1,747,411.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,533 : 1,164,120 = 1,164,120 : x
  2. Step 2: Convert to fraction form
    775,533/1,164,120 = 1,164,120/x
  3. Step 3: Cross multiply
    775,533x = 1,164,120 × 1,164,120
  4. Step 4: Simplify right side
    775,533x = 1,355,175,374,400
  5. Step 5: Solve for x
    x = 1,355,175,374,400/775,533
  6. Step 6: Final answer
    x = 1,747,411.62

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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.