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Finding the Third Proportional to 814,718 and 1,235,622

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Solution

The third proportional to 814,718 and 1,235,622 is: 1,873,975.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,718 : 1,235,622 = 1,235,622 : x
  2. Step 2: Convert to fraction form
    814,718/1,235,622 = 1,235,622/x
  3. Step 3: Cross multiply
    814,718x = 1,235,622 × 1,235,622
  4. Step 4: Simplify right side
    814,718x = 1,526,761,726,884
  5. Step 5: Solve for x
    x = 1,526,761,726,884/814,718
  6. Step 6: Final answer
    x = 1,873,975.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.