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Finding the Third Proportional to 1,739,144 and 2,286,966

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Solution

The third proportional to 1,739,144 and 2,286,966 is: 3,007,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739,144 : 2,286,966 = 2,286,966 : x
  2. Step 2: Convert to fraction form
    1,739,144/2,286,966 = 2,286,966/x
  3. Step 3: Cross multiply
    1,739,144x = 2,286,966 × 2,286,966
  4. Step 4: Simplify right side
    1,739,144x = 5,230,213,485,156
  5. Step 5: Solve for x
    x = 5,230,213,485,156/1,739,144
  6. Step 6: Final answer
    x = 3,007,349.30

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.