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Finding the Third Proportional to 3,292,410.38 and 4,947,390.56

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Solution

The third proportional to 3,292,410.38 and 4,947,390.56 is: 7,434,271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292,410.38 : 4,947,390.56 = 4,947,390.56 : x
  2. Step 2: Convert to fraction form
    3,292,410.38/4,947,390.56 = 4,947,390.56/x
  3. Step 3: Cross multiply
    3,292,410.38x = 4,947,390.56 × 4,947,390.56
  4. Step 4: Simplify right side
    3,292,410.38x = 24,476,673,377,914.07
  5. Step 5: Solve for x
    x = 24,476,673,377,914.07/3,292,410.38
  6. Step 6: Final answer
    x = 7,434,271.73

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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.