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Finding the Third Proportional to 437,781 and 939,348

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Solution

The third proportional to 437,781 and 939,348 is: 2,015,561.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,781 : 939,348 = 939,348 : x
  2. Step 2: Convert to fraction form
    437,781/939,348 = 939,348/x
  3. Step 3: Cross multiply
    437,781x = 939,348 × 939,348
  4. Step 4: Simplify right side
    437,781x = 882,374,665,104
  5. Step 5: Solve for x
    x = 882,374,665,104/437,781
  6. Step 6: Final answer
    x = 2,015,561.81

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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.