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Finding the Third Proportional to 437,978 and 943,429

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Solution

The third proportional to 437,978 and 943,429 is: 2,032,198.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,978 : 943,429 = 943,429 : x
  2. Step 2: Convert to fraction form
    437,978/943,429 = 943,429/x
  3. Step 3: Cross multiply
    437,978x = 943,429 × 943,429
  4. Step 4: Simplify right side
    437,978x = 890,058,278,041
  5. Step 5: Solve for x
    x = 890,058,278,041/437,978
  6. Step 6: Final answer
    x = 2,032,198.60

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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.