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Finding the Third Proportional to 1,007,940.38 and 1,560,662.44

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Solution

The third proportional to 1,007,940.38 and 1,560,662.44 is: 2,416,479.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007,940.38 : 1,560,662.44 = 1,560,662.44 : x
  2. Step 2: Convert to fraction form
    1,007,940.38/1,560,662.44 = 1,560,662.44/x
  3. Step 3: Cross multiply
    1,007,940.38x = 1,560,662.44 × 1,560,662.44
  4. Step 4: Simplify right side
    1,007,940.38x = 2,435,667,243,823.44
  5. Step 5: Solve for x
    x = 2,435,667,243,823.44/1,007,940.38
  6. Step 6: Final answer
    x = 2,416,479.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.