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Finding the Third Proportional to 444,420 and 964,710

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Solution

The third proportional to 444,420 and 964,710 is: 2,094,112.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,420 : 964,710 = 964,710 : x
  2. Step 2: Convert to fraction form
    444,420/964,710 = 964,710/x
  3. Step 3: Cross multiply
    444,420x = 964,710 × 964,710
  4. Step 4: Simplify right side
    444,420x = 930,665,384,100
  5. Step 5: Solve for x
    x = 930,665,384,100/444,420
  6. Step 6: Final answer
    x = 2,094,112.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.