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Finding the Third Proportional to 412,169.77 and 896,920.59

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Solution

The third proportional to 412,169.77 and 896,920.59 is: 1,951,784.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,169.77 : 896,920.59 = 896,920.59 : x
  2. Step 2: Convert to fraction form
    412,169.77/896,920.59 = 896,920.59/x
  3. Step 3: Cross multiply
    412,169.77x = 896,920.59 × 896,920.59
  4. Step 4: Simplify right side
    412,169.77x = 804,466,551,492.85
  5. Step 5: Solve for x
    x = 804,466,551,492.85/412,169.77
  6. Step 6: Final answer
    x = 1,951,784.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.