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Finding the Third Proportional to 1,834,037.81 and 4,022,369.63

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Solution

The third proportional to 1,834,037.81 and 4,022,369.63 is: 8,821,768.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834,037.81 : 4,022,369.63 = 4,022,369.63 : x
  2. Step 2: Convert to fraction form
    1,834,037.81/4,022,369.63 = 4,022,369.63/x
  3. Step 3: Cross multiply
    1,834,037.81x = 4,022,369.63 × 4,022,369.63
  4. Step 4: Simplify right side
    1,834,037.81x = 16,179,457,400,122.64
  5. Step 5: Solve for x
    x = 16,179,457,400,122.64/1,834,037.81
  6. Step 6: Final answer
    x = 8,821,768.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.