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Finding the Third Proportional to 733,182.75 and 1,533,402

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Solution

The third proportional to 733,182.75 and 1,533,402 is: 3,207,006.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,182.75 : 1,533,402 = 1,533,402 : x
  2. Step 2: Convert to fraction form
    733,182.75/1,533,402 = 1,533,402/x
  3. Step 3: Cross multiply
    733,182.75x = 1,533,402 × 1,533,402
  4. Step 4: Simplify right side
    733,182.75x = 2,351,321,693,604
  5. Step 5: Solve for x
    x = 2,351,321,693,604/733,182.75
  6. Step 6: Final answer
    x = 3,207,006.29

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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.