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Finding the Third Proportional to 441,981 and 964,926

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Solution

The third proportional to 441,981 and 964,926 is: 2,106,611.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,981 : 964,926 = 964,926 : x
  2. Step 2: Convert to fraction form
    441,981/964,926 = 964,926/x
  3. Step 3: Cross multiply
    441,981x = 964,926 × 964,926
  4. Step 4: Simplify right side
    441,981x = 931,082,185,476
  5. Step 5: Solve for x
    x = 931,082,185,476/441,981
  6. Step 6: Final answer
    x = 2,106,611.34

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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.