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Finding the Third Proportional to 966,930.75 and 2,049,117.75

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Solution

The third proportional to 966,930.75 and 2,049,117.75 is: 4,342,486.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,930.75 : 2,049,117.75 = 2,049,117.75 : x
  2. Step 2: Convert to fraction form
    966,930.75/2,049,117.75 = 2,049,117.75/x
  3. Step 3: Cross multiply
    966,930.75x = 2,049,117.75 × 2,049,117.75
  4. Step 4: Simplify right side
    966,930.75x = 4,198,883,553,365.06
  5. Step 5: Solve for x
    x = 4,198,883,553,365.06/966,930.75
  6. Step 6: Final answer
    x = 4,342,486.32

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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.