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Finding the Third Proportional to 966,872.25 and 2,049,003.63

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Solution

The third proportional to 966,872.25 and 2,049,003.63 is: 4,342,265.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,872.25 : 2,049,003.63 = 2,049,003.63 : x
  2. Step 2: Convert to fraction form
    966,872.25/2,049,003.63 = 2,049,003.63/x
  3. Step 3: Cross multiply
    966,872.25x = 2,049,003.63 × 2,049,003.63
  4. Step 4: Simplify right side
    966,872.25x = 4,198,415,855,263.14
  5. Step 5: Solve for x
    x = 4,198,415,855,263.14/966,872.25
  6. Step 6: Final answer
    x = 4,342,265.34

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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.