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Finding the Third Proportional to 436,819 and 938,475

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Solution

The third proportional to 436,819 and 938,475 is: 2,016,247.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,819 : 938,475 = 938,475 : x
  2. Step 2: Convert to fraction form
    436,819/938,475 = 938,475/x
  3. Step 3: Cross multiply
    436,819x = 938,475 × 938,475
  4. Step 4: Simplify right side
    436,819x = 880,735,325,625
  5. Step 5: Solve for x
    x = 880,735,325,625/436,819
  6. Step 6: Final answer
    x = 2,016,247.75

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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.