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Finding the Third Proportional to 411,081 and 896,667

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Solution

The third proportional to 411,081 and 896,667 is: 1,955,847.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,081 : 896,667 = 896,667 : x
  2. Step 2: Convert to fraction form
    411,081/896,667 = 896,667/x
  3. Step 3: Cross multiply
    411,081x = 896,667 × 896,667
  4. Step 4: Simplify right side
    411,081x = 804,011,708,889
  5. Step 5: Solve for x
    x = 804,011,708,889/411,081
  6. Step 6: Final answer
    x = 1,955,847.41

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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.