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Finding the Third Proportional to 966,889 and 2,049,036

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Solution

The third proportional to 966,889 and 2,049,036 is: 4,342,327.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,889 : 2,049,036 = 2,049,036 : x
  2. Step 2: Convert to fraction form
    966,889/2,049,036 = 2,049,036/x
  3. Step 3: Cross multiply
    966,889x = 2,049,036 × 2,049,036
  4. Step 4: Simplify right side
    966,889x = 4,198,548,529,296
  5. Step 5: Solve for x
    x = 4,198,548,529,296/966,889
  6. Step 6: Final answer
    x = 4,342,327.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.