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Finding the Third Proportional to 411,080 and 896,665

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Solution

The third proportional to 411,080 and 896,665 is: 1,955,843.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,080 : 896,665 = 896,665 : x
  2. Step 2: Convert to fraction form
    411,080/896,665 = 896,665/x
  3. Step 3: Cross multiply
    411,080x = 896,665 × 896,665
  4. Step 4: Simplify right side
    411,080x = 804,008,122,225
  5. Step 5: Solve for x
    x = 804,008,122,225/411,080
  6. Step 6: Final answer
    x = 1,955,843.44

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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.