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Finding the Third Proportional to 2,284,728 and 5,017,784

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Solution

The third proportional to 2,284,728 and 5,017,784 is: 11,020,198.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284,728 : 5,017,784 = 5,017,784 : x
  2. Step 2: Convert to fraction form
    2,284,728/5,017,784 = 5,017,784/x
  3. Step 3: Cross multiply
    2,284,728x = 5,017,784 × 5,017,784
  4. Step 4: Simplify right side
    2,284,728x = 25,178,156,270,656
  5. Step 5: Solve for x
    x = 25,178,156,270,656/2,284,728
  6. Step 6: Final answer
    x = 11,020,198.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.