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Finding the Third Proportional to 444,050 and 959,134

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Solution

The third proportional to 444,050 and 959,134 is: 2,071,699.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,050 : 959,134 = 959,134 : x
  2. Step 2: Convert to fraction form
    444,050/959,134 = 959,134/x
  3. Step 3: Cross multiply
    444,050x = 959,134 × 959,134
  4. Step 4: Simplify right side
    444,050x = 919,938,029,956
  5. Step 5: Solve for x
    x = 919,938,029,956/444,050
  6. Step 6: Final answer
    x = 2,071,699.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.