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Finding the Third Proportional to 966,939.75 and 2,013,343.75

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Solution

The third proportional to 966,939.75 and 2,013,343.75 is: 4,192,146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,939.75 : 2,013,343.75 = 2,013,343.75 : x
  2. Step 2: Convert to fraction form
    966,939.75/2,013,343.75 = 2,013,343.75/x
  3. Step 3: Cross multiply
    966,939.75x = 2,013,343.75 × 2,013,343.75
  4. Step 4: Simplify right side
    966,939.75x = 4,053,553,055,664.06
  5. Step 5: Solve for x
    x = 4,053,553,055,664.06/966,939.75
  6. Step 6: Final answer
    x = 4,192,146.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.