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Finding the Third Proportional to 3,781,037.25 and 5,811,726.38

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Solution

The third proportional to 3,781,037.25 and 5,811,726.38 is: 8,933,041.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781,037.25 : 5,811,726.38 = 5,811,726.38 : x
  2. Step 2: Convert to fraction form
    3,781,037.25/5,811,726.38 = 5,811,726.38/x
  3. Step 3: Cross multiply
    3,781,037.25x = 5,811,726.38 × 5,811,726.38
  4. Step 4: Simplify right side
    3,781,037.25x = 33,776,163,457,870.64
  5. Step 5: Solve for x
    x = 33,776,163,457,870.64/3,781,037.25
  6. Step 6: Final answer
    x = 8,933,041.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.