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Finding the Third Proportional to 444,242 and 959,409

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Solution

The third proportional to 444,242 and 959,409 is: 2,071,991.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,242 : 959,409 = 959,409 : x
  2. Step 2: Convert to fraction form
    444,242/959,409 = 959,409/x
  3. Step 3: Cross multiply
    444,242x = 959,409 × 959,409
  4. Step 4: Simplify right side
    444,242x = 920,465,629,281
  5. Step 5: Solve for x
    x = 920,465,629,281/444,242
  6. Step 6: Final answer
    x = 2,071,991.46

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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.