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Finding the Third Proportional to 2,200,563 and 4,726,512

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Solution

The third proportional to 2,200,563 and 4,726,512 is: 10,151,909.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200,563 : 4,726,512 = 4,726,512 : x
  2. Step 2: Convert to fraction form
    2,200,563/4,726,512 = 4,726,512/x
  3. Step 3: Cross multiply
    2,200,563x = 4,726,512 × 4,726,512
  4. Step 4: Simplify right side
    2,200,563x = 22,339,915,686,144
  5. Step 5: Solve for x
    x = 22,339,915,686,144/2,200,563
  6. Step 6: Final answer
    x = 10,151,909.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.