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Finding the Third Proportional to 411,085 and 896,675

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Solution

The third proportional to 411,085 and 896,675 is: 1,955,863.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,085 : 896,675 = 896,675 : x
  2. Step 2: Convert to fraction form
    411,085/896,675 = 896,675/x
  3. Step 3: Cross multiply
    411,085x = 896,675 × 896,675
  4. Step 4: Simplify right side
    411,085x = 804,026,055,625
  5. Step 5: Solve for x
    x = 804,026,055,625/411,085
  6. Step 6: Final answer
    x = 1,955,863.28

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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.