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Finding the Third Proportional to 2,786,427.84 and 3,923,904.52

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Solution

The third proportional to 2,786,427.84 and 3,923,904.52 is: 5,525,722.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786,427.84 : 3,923,904.52 = 3,923,904.52 : x
  2. Step 2: Convert to fraction form
    2,786,427.84/3,923,904.52 = 3,923,904.52/x
  3. Step 3: Cross multiply
    2,786,427.84x = 3,923,904.52 × 3,923,904.52
  4. Step 4: Simplify right side
    2,786,427.84x = 15,397,026,647,742.27
  5. Step 5: Solve for x
    x = 15,397,026,647,742.27/2,786,427.84
  6. Step 6: Final answer
    x = 5,525,722.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.