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Finding the Third Proportional to 437,377 and 941,834

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Solution

The third proportional to 437,377 and 941,834 is: 2,028,115.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,377 : 941,834 = 941,834 : x
  2. Step 2: Convert to fraction form
    437,377/941,834 = 941,834/x
  3. Step 3: Cross multiply
    437,377x = 941,834 × 941,834
  4. Step 4: Simplify right side
    437,377x = 887,051,283,556
  5. Step 5: Solve for x
    x = 887,051,283,556/437,377
  6. Step 6: Final answer
    x = 2,028,115.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.