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Finding the Third Proportional to 2,749,810.78 and 4,040,436.94

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Solution

The third proportional to 2,749,810.78 and 4,040,436.94 is: 5,936,819.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749,810.78 : 4,040,436.94 = 4,040,436.94 : x
  2. Step 2: Convert to fraction form
    2,749,810.78/4,040,436.94 = 4,040,436.94/x
  3. Step 3: Cross multiply
    2,749,810.78x = 4,040,436.94 × 4,040,436.94
  4. Step 4: Simplify right side
    2,749,810.78x = 16,325,130,645,914.38
  5. Step 5: Solve for x
    x = 16,325,130,645,914.38/2,749,810.78
  6. Step 6: Final answer
    x = 5,936,819.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.