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Finding the Third Proportional to 437,032 and 950,974

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Solution

The third proportional to 437,032 and 950,974 is: 2,069,302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,032 : 950,974 = 950,974 : x
  2. Step 2: Convert to fraction form
    437,032/950,974 = 950,974/x
  3. Step 3: Cross multiply
    437,032x = 950,974 × 950,974
  4. Step 4: Simplify right side
    437,032x = 904,351,548,676
  5. Step 5: Solve for x
    x = 904,351,548,676/437,032
  6. Step 6: Final answer
    x = 2,069,302.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.