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Finding the Third Proportional to 775,632 and 1,191,801

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Solution

The third proportional to 775,632 and 1,191,801 is: 1,831,267.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,632 : 1,191,801 = 1,191,801 : x
  2. Step 2: Convert to fraction form
    775,632/1,191,801 = 1,191,801/x
  3. Step 3: Cross multiply
    775,632x = 1,191,801 × 1,191,801
  4. Step 4: Simplify right side
    775,632x = 1,420,389,623,601
  5. Step 5: Solve for x
    x = 1,420,389,623,601/775,632
  6. Step 6: Final answer
    x = 1,831,267.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.