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Finding the Third Proportional to 746,401 and 1,599,288

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Solution

The third proportional to 746,401 and 1,599,288 is: 3,426,739.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,401 : 1,599,288 = 1,599,288 : x
  2. Step 2: Convert to fraction form
    746,401/1,599,288 = 1,599,288/x
  3. Step 3: Cross multiply
    746,401x = 1,599,288 × 1,599,288
  4. Step 4: Simplify right side
    746,401x = 2,557,722,106,944
  5. Step 5: Solve for x
    x = 2,557,722,106,944/746,401
  6. Step 6: Final answer
    x = 3,426,739.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.