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Finding the Third Proportional to 814,059 and 1,702,395

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Solution

The third proportional to 814,059 and 1,702,395 is: 3,560,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,059 : 1,702,395 = 1,702,395 : x
  2. Step 2: Convert to fraction form
    814,059/1,702,395 = 1,702,395/x
  3. Step 3: Cross multiply
    814,059x = 1,702,395 × 1,702,395
  4. Step 4: Simplify right side
    814,059x = 2,898,148,736,025
  5. Step 5: Solve for x
    x = 2,898,148,736,025/814,059
  6. Step 6: Final answer
    x = 3,560,121.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.