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Finding the Third Proportional to 966,889.50 and 2,049,036.38

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Solution

The third proportional to 966,889.50 and 2,049,036.38 is: 4,342,326.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,889.50 : 2,049,036.38 = 2,049,036.38 : x
  2. Step 2: Convert to fraction form
    966,889.50/2,049,036.38 = 2,049,036.38/x
  3. Step 3: Cross multiply
    966,889.50x = 2,049,036.38 × 2,049,036.38
  4. Step 4: Simplify right side
    966,889.50x = 4,198,550,066,073.14
  5. Step 5: Solve for x
    x = 4,198,550,066,073.14/966,889.50
  6. Step 6: Final answer
    x = 4,342,326.67

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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.