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Finding the Third Proportional to 3,790,724 and 8,948,578

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Solution

The third proportional to 3,790,724 and 8,948,578 is: 21,124,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790,724 : 8,948,578 = 8,948,578 : x
  2. Step 2: Convert to fraction form
    3,790,724/8,948,578 = 8,948,578/x
  3. Step 3: Cross multiply
    3,790,724x = 8,948,578 × 8,948,578
  4. Step 4: Simplify right side
    3,790,724x = 80,077,048,222,084
  5. Step 5: Solve for x
    x = 80,077,048,222,084/3,790,724
  6. Step 6: Final answer
    x = 21,124,473.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.