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Finding the Third Proportional to 441,995 and 964,954

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Solution

The third proportional to 441,995 and 964,954 is: 2,106,666.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,995 : 964,954 = 964,954 : x
  2. Step 2: Convert to fraction form
    441,995/964,954 = 964,954/x
  3. Step 3: Cross multiply
    441,995x = 964,954 × 964,954
  4. Step 4: Simplify right side
    441,995x = 931,136,222,116
  5. Step 5: Solve for x
    x = 931,136,222,116/441,995
  6. Step 6: Final answer
    x = 2,106,666.87

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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.