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Finding the Third Proportional to 3,863,229.75 and 5,246,784

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Solution

The third proportional to 3,863,229.75 and 5,246,784 is: 7,125,836.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863,229.75 : 5,246,784 = 5,246,784 : x
  2. Step 2: Convert to fraction form
    3,863,229.75/5,246,784 = 5,246,784/x
  3. Step 3: Cross multiply
    3,863,229.75x = 5,246,784 × 5,246,784
  4. Step 4: Simplify right side
    3,863,229.75x = 27,528,742,342,656
  5. Step 5: Solve for x
    x = 27,528,742,342,656/3,863,229.75
  6. Step 6: Final answer
    x = 7,125,836.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.