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Finding the Third Proportional to 727,104 and 1,521,024

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Solution

The third proportional to 727,104 and 1,521,024 is: 3,181,819.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,104 : 1,521,024 = 1,521,024 : x
  2. Step 2: Convert to fraction form
    727,104/1,521,024 = 1,521,024/x
  3. Step 3: Cross multiply
    727,104x = 1,521,024 × 1,521,024
  4. Step 4: Simplify right side
    727,104x = 2,313,514,008,576
  5. Step 5: Solve for x
    x = 2,313,514,008,576/727,104
  6. Step 6: Final answer
    x = 3,181,819.94

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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.