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Finding the Third Proportional to 775,512 and 1,137,744

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Solution

The third proportional to 775,512 and 1,137,744 is: 1,669,170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,512 : 1,137,744 = 1,137,744 : x
  2. Step 2: Convert to fraction form
    775,512/1,137,744 = 1,137,744/x
  3. Step 3: Cross multiply
    775,512x = 1,137,744 × 1,137,744
  4. Step 4: Simplify right side
    775,512x = 1,294,461,409,536
  5. Step 5: Solve for x
    x = 1,294,461,409,536/775,512
  6. Step 6: Final answer
    x = 1,669,170.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.