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Finding the Third Proportional to 733,172 and 1,533,379

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Solution

The third proportional to 733,172 and 1,533,379 is: 3,206,957.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,172 : 1,533,379 = 1,533,379 : x
  2. Step 2: Convert to fraction form
    733,172/1,533,379 = 1,533,379/x
  3. Step 3: Cross multiply
    733,172x = 1,533,379 × 1,533,379
  4. Step 4: Simplify right side
    733,172x = 2,351,251,157,641
  5. Step 5: Solve for x
    x = 2,351,251,157,641/733,172
  6. Step 6: Final answer
    x = 3,206,957.11

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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.