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Finding the Third Proportional to 733,741 and 1,601,982

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Solution

The third proportional to 733,741 and 1,601,982 is: 3,497,618.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,741 : 1,601,982 = 1,601,982 : x
  2. Step 2: Convert to fraction form
    733,741/1,601,982 = 1,601,982/x
  3. Step 3: Cross multiply
    733,741x = 1,601,982 × 1,601,982
  4. Step 4: Simplify right side
    733,741x = 2,566,346,328,324
  5. Step 5: Solve for x
    x = 2,566,346,328,324/733,741
  6. Step 6: Final answer
    x = 3,497,618.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.