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Finding the Third Proportional to 411,069 and 896,839

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Solution

The third proportional to 411,069 and 896,839 is: 1,956,654.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,069 : 896,839 = 896,839 : x
  2. Step 2: Convert to fraction form
    411,069/896,839 = 896,839/x
  3. Step 3: Cross multiply
    411,069x = 896,839 × 896,839
  4. Step 4: Simplify right side
    411,069x = 804,320,191,921
  5. Step 5: Solve for x
    x = 804,320,191,921/411,069
  6. Step 6: Final answer
    x = 1,956,654.95

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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.