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Finding the Third Proportional to 3,785,639.63 and 5,872,906.69

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Solution

The third proportional to 3,785,639.63 and 5,872,906.69 is: 9,111,018.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785,639.63 : 5,872,906.69 = 5,872,906.69 : x
  2. Step 2: Convert to fraction form
    3,785,639.63/5,872,906.69 = 5,872,906.69/x
  3. Step 3: Cross multiply
    3,785,639.63x = 5,872,906.69 × 5,872,906.69
  4. Step 4: Simplify right side
    3,785,639.63x = 34,491,032,960,082.22
  5. Step 5: Solve for x
    x = 34,491,032,960,082.22/3,785,639.63
  6. Step 6: Final answer
    x = 9,111,018.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.