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Finding the Third Proportional to 4,258,858.50 and 6,381,726.75

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Solution

The third proportional to 4,258,858.50 and 6,381,726.75 is: 9,562,758.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258,858.50 : 6,381,726.75 = 6,381,726.75 : x
  2. Step 2: Convert to fraction form
    4,258,858.50/6,381,726.75 = 6,381,726.75/x
  3. Step 3: Cross multiply
    4,258,858.50x = 6,381,726.75 × 6,381,726.75
  4. Step 4: Simplify right side
    4,258,858.50x = 40,726,436,311,665.56
  5. Step 5: Solve for x
    x = 40,726,436,311,665.56/4,258,858.50
  6. Step 6: Final answer
    x = 9,562,758.73

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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.