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Finding the Third Proportional to 672,024.09 and 1,451,021.34

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Solution

The third proportional to 672,024.09 and 1,451,021.34 is: 3,133,017.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,024.09 : 1,451,021.34 = 1,451,021.34 : x
  2. Step 2: Convert to fraction form
    672,024.09/1,451,021.34 = 1,451,021.34/x
  3. Step 3: Cross multiply
    672,024.09x = 1,451,021.34 × 1,451,021.34
  4. Step 4: Simplify right side
    672,024.09x = 2,105,462,940,018.06
  5. Step 5: Solve for x
    x = 2,105,462,940,018.06/672,024.09
  6. Step 6: Final answer
    x = 3,133,017.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.