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Finding the Third Proportional to 1,928,299.41 and 4,006,065.59

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Solution

The third proportional to 1,928,299.41 and 4,006,065.59 is: 8,322,650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928,299.41 : 4,006,065.59 = 4,006,065.59 : x
  2. Step 2: Convert to fraction form
    1,928,299.41/4,006,065.59 = 4,006,065.59/x
  3. Step 3: Cross multiply
    1,928,299.41x = 4,006,065.59 × 4,006,065.59
  4. Step 4: Simplify right side
    1,928,299.41x = 16,048,561,478,832.77
  5. Step 5: Solve for x
    x = 16,048,561,478,832.77/1,928,299.41
  6. Step 6: Final answer
    x = 8,322,650.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.