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Finding the Third Proportional to 775,400 and 1,047,372

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Solution

The third proportional to 775,400 and 1,047,372 is: 1,414,738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,400 : 1,047,372 = 1,047,372 : x
  2. Step 2: Convert to fraction form
    775,400/1,047,372 = 1,047,372/x
  3. Step 3: Cross multiply
    775,400x = 1,047,372 × 1,047,372
  4. Step 4: Simplify right side
    775,400x = 1,096,988,106,384
  5. Step 5: Solve for x
    x = 1,096,988,106,384/775,400
  6. Step 6: Final answer
    x = 1,414,738.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.