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Finding the Third Proportional to 2,133,784 and 4,651,016

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Solution

The third proportional to 2,133,784 and 4,651,016 is: 10,137,834.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133,784 : 4,651,016 = 4,651,016 : x
  2. Step 2: Convert to fraction form
    2,133,784/4,651,016 = 4,651,016/x
  3. Step 3: Cross multiply
    2,133,784x = 4,651,016 × 4,651,016
  4. Step 4: Simplify right side
    2,133,784x = 21,631,949,832,256
  5. Step 5: Solve for x
    x = 21,631,949,832,256/2,133,784
  6. Step 6: Final answer
    x = 10,137,834.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.