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Finding the Third Proportional to 411,171.19 and 896,821.88

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Solution

The third proportional to 411,171.19 and 896,821.88 is: 1,956,093.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,171.19 : 896,821.88 = 896,821.88 : x
  2. Step 2: Convert to fraction form
    411,171.19/896,821.88 = 896,821.88/x
  3. Step 3: Cross multiply
    411,171.19x = 896,821.88 × 896,821.88
  4. Step 4: Simplify right side
    411,171.19x = 804,289,475,478.52
  5. Step 5: Solve for x
    x = 804,289,475,478.52/411,171.19
  6. Step 6: Final answer
    x = 1,956,093.96

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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.