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Finding the Third Proportional to 436,827.94 and 894,817.13

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Solution

The third proportional to 436,827.94 and 894,817.13 is: 1,832,981.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,827.94 : 894,817.13 = 894,817.13 : x
  2. Step 2: Convert to fraction form
    436,827.94/894,817.13 = 894,817.13/x
  3. Step 3: Cross multiply
    436,827.94x = 894,817.13 × 894,817.13
  4. Step 4: Simplify right side
    436,827.94x = 800,697,687,193.27
  5. Step 5: Solve for x
    x = 800,697,687,193.27/436,827.94
  6. Step 6: Final answer
    x = 1,832,981.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.