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Finding the Third Proportional to 436,946.27 and 934,608.38

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Solution

The third proportional to 436,946.27 and 934,608.38 is: 1,999,085.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,946.27 : 934,608.38 = 934,608.38 : x
  2. Step 2: Convert to fraction form
    436,946.27/934,608.38 = 934,608.38/x
  3. Step 3: Cross multiply
    436,946.27x = 934,608.38 × 934,608.38
  4. Step 4: Simplify right side
    436,946.27x = 873,492,814,620.14
  5. Step 5: Solve for x
    x = 873,492,814,620.14/436,946.27
  6. Step 6: Final answer
    x = 1,999,085.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.