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Finding the Third Proportional to 2,477,049.75 and 3,704,042.25

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Solution

The third proportional to 2,477,049.75 and 3,704,042.25 is: 5,538,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477,049.75 : 3,704,042.25 = 3,704,042.25 : x
  2. Step 2: Convert to fraction form
    2,477,049.75/3,704,042.25 = 3,704,042.25/x
  3. Step 3: Cross multiply
    2,477,049.75x = 3,704,042.25 × 3,704,042.25
  4. Step 4: Simplify right side
    2,477,049.75x = 13,719,928,989,785.06
  5. Step 5: Solve for x
    x = 13,719,928,989,785.06/2,477,049.75
  6. Step 6: Final answer
    x = 5,538,818.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.