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Finding the Third Proportional to 444,465 and 964,800

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Solution

The third proportional to 444,465 and 964,800 is: 2,094,290.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,465 : 964,800 = 964,800 : x
  2. Step 2: Convert to fraction form
    444,465/964,800 = 964,800/x
  3. Step 3: Cross multiply
    444,465x = 964,800 × 964,800
  4. Step 4: Simplify right side
    444,465x = 930,839,040,000
  5. Step 5: Solve for x
    x = 930,839,040,000/444,465
  6. Step 6: Final answer
    x = 2,094,290.98

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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.