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Finding the Third Proportional to 437,978 and 943,430

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Solution

The third proportional to 437,978 and 943,430 is: 2,032,202.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,978 : 943,430 = 943,430 : x
  2. Step 2: Convert to fraction form
    437,978/943,430 = 943,430/x
  3. Step 3: Cross multiply
    437,978x = 943,430 × 943,430
  4. Step 4: Simplify right side
    437,978x = 890,060,164,900
  5. Step 5: Solve for x
    x = 890,060,164,900/437,978
  6. Step 6: Final answer
    x = 2,032,202.91

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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.