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Finding the Third Proportional to 665,728.88 and 1,456,010.44

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Solution

The third proportional to 665,728.88 and 1,456,010.44 is: 3,184,429.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,728.88 : 1,456,010.44 = 1,456,010.44 : x
  2. Step 2: Convert to fraction form
    665,728.88/1,456,010.44 = 1,456,010.44/x
  3. Step 3: Cross multiply
    665,728.88x = 1,456,010.44 × 1,456,010.44
  4. Step 4: Simplify right side
    665,728.88x = 2,119,966,394,108.94
  5. Step 5: Solve for x
    x = 2,119,966,394,108.94/665,728.88
  6. Step 6: Final answer
    x = 3,184,429.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.